Publications in VIVO

Co-author Network

Gustafson, Karl E

Professor Emerita/Emeritus

Positions

Professor Emerita/Emeritus, Mathematics

Research Areas

Research

research overview

My current research concerns finance, quantum physics, and topics in pure and applied mathematics.

keywords

MATHEMATICAL PHYSICS, PARTIAL DIFFERENTIAL EQUATIONS, LINEAR ALGEBRA, FINANCE

Publications

selected publications

book
chapter
- Operator geometry in statistics. 355-382. 2011
- The Trigonometry of Twistors and Elementary Particles. AIP Conference Proceedings. 65-73. 2009
- The operator trigonometry in statistics. 189-193. 2008
- WAVELETS AND EXPECTATIONS: A DIFFERENT PATH TO WAVELETS. 5-22. 2007
- NONCOMMUTATIVE TRIGONOMETRY AND QUANTUM MECHANICS. 341-360. 2007
- Navier-Stokes computation of hovering dynamics. 552-572. 2007
- No Radial Symmetries in the Arrhenius-Semenov Thermal Explosion Equation. 357-370. 2007
- The born rule. AIP Conference Proceedings. 98-107. 2007
- Time-Space Dilations and Stochastic-Deterministic Dynamics 2007
- Noncommutative Trigonometry. 127-155. 2006
- Bell’s inequalities and the Accardi-Gustafson inequality. 207-223. 2003
- The quantum Zeno paradox and the counter problem. 225-236. 2003
- An unconventional computational linear algebra: Operator trigonometry. 48-67. 2001
- A composition adjoint lemma. 253-258. 2000
- Semigroup theory and operator trigonometry. 131-140. 2000
- The Trigonometry of Quantum Probabilities. 159-173. 2000
- Antieigenvalues: an extended spectral theory. 144-149. 1999
- Rigged spectral states: a proclivity for eigenvalues. 48-55. 1999
- The geometry of quantum probabilities. 151-164. 1999
- Domain decomposition, operator trigonometry, Robin condition. Contemporary Mathematics. 432-437. 1998
- Ergodic learning algorithms. 228-242. 1998
- From stochastic semigroups to chaotic dynamics. Lecture Notes in Physics. 110-123. 1998
- Operator Trigonometry of Wavelet Frames 1998
- Semigroups and antieigenvalues. 379-384. 1998
- Acceleration Methods. 16-18. 1997
- Antieigenvalues. 57-57. 1997
- Singular Angles of a Square Matrix. 356-367. 1996
- Foreword. Advances in neuroimmunology. 1-3. 1995
- On the Computation of Periodic Solutions for Autonomous Partial Differential Equation Boundary Value Problems. 32-56. 1993
- 5. Four Principles of Vortex Motion. 95-141. 1991
- A second-order translation, rotation, and scale invariant neural network 1991
- The flow semigroup approximation problem. 343-354. 1991
- Visualization and computation of hovering mode vortex dynamics. 143-169. 1991
- Reversibility in Neural Processing Systems 1990
- A theory for computational vortex dynamics. 265-269. 1989
- Controversies concerning finite/infinite sequences of fluid corner vortices. Contemporary Mathematics. 351-357. 1989
- Factorization problems in fast elliptic solvers 1989
- Multigrid localization and multigrid grid generation for the computation of vortex structure and dynamics of flows in cavities and about airfoils. 229-250. 1988
- Robust multigrid computation and visualization of separation and vortex evolution in aerodynamic flows. 174-184. 1988
- Vortex Subdomains. 370-380. 1988
- INTERMITTENT BIFURCATION OF VORTEX FLOWS. Lecture Notes in Mathematics. 155-161. 1987
- Kolmogorov systems and Haar systems. 401-416. 1987
- Spectral estimation and factorization in higher dimensions. 383-399. 1987
- Combustion and explosion equations and their calculation. 161-195. 1985
- Graph theory in the approximation theory of fluid dynamics. 511-519. 1984
- On the structure of finite element solenoidal subspaces 1984
- Remarks (1983) on three new and unsolved problems (1971) in operator theory (1) Principal Axis (2) Numerical Range (3) Numerical Radius 1984
- Vorticity, Incompressibility, and Boundary Conditions in the Numerical Solution of the Navier-Stokes Equations. North Holland Mathematics Studies. 257-264. 1984
- A Banach-Lamperti theorem and similarity transformations in statistical mechanics. 567-579. 1983
- Hybrid fast Poisson solvers for fluid dynamics, transonic flow, solenoidal projection, and the Navier-Stokes equations for general domains. 87-96. 1983
- Irreversibility questions in chemistry, quantum-counting, and time-delay. 516-526. 1983
- Numerical calculation of critical parameters of thermal explosion 1983
- On the divergence-free (i.e., mass conservation, solenoidal) condition in computational fluid dynamics: how important is it?. 617-626. 1983
- Regular representation and approximation. 539-550. 1983
- COMPUTATION OF SOLENOIDAL (DIVERGENCE-FREE) VECTOR-FIELDS. Lecture Notes in Mathematics. 95-113. 1982
- The singular sequence problem. 289-294. 1982
- Timestep control for the numerical solutions of initial-boundary value problems 1981
- A study of the Helmholtz operator. 107-120. 1981
- Higher-dimensional spectral factorization with applications to digital filtering. 199-205. 1981
- Irreversibility and stochasticity of chemical processes 1981
- On a generalized Weyl-Von Neumann converse theorem 1981
- On the dimension of the finite difference approximations to divergence free vectors. 125-132. 1981
- Recent progress on the nonlinear Hartree-Fock, concentration-diffusion, and Navier-Stokes equations. 296-309. 1981
- Weighted trigonometric approximations in L2(Rn). 343-350. 1981
- Correlations and evolution equations. 243-Vol. 2. 1976
- Candidates for oac and Hac 1974
- Fourier Scattering Subspaces 1974
- Antieigenvalue inequalities in operator theory. 115-119. 1972
- New and unsolved problems. 493-Vol. 20. 1972
- Weyl’s theorems. 80-Vol. 20. 1972
conference proceeding
- Antieigenvalue Analysis, New Applications: Continuum Mechanics, Economics,Number Theory. 116-120. 2015
- The Future of Mathematics: From the Pure-Applied Debate to Reality. 113-113. 2014
- Detailed Balance. AIP Conference Proceedings. 2011
- A Trigonometry of Quantum States. AIP Conference Proceedings. 72-85. 2009
- Interconnections of Quantum, Machine, and Human Learning. 56-62. 2007
- Preconditioning, Inner Products, Normal Degree 2003
- A Zeno Story. 265-272. 2001
- Bell's Inequalities. 524-554. 2001
- Wavelets as Stochastic Processes. 40-43. 1998
- Assigning Initial Weights in Feedforward Neural Networks. 1108-1113. 1998
- Operator Trigonometry of Linear Systems. 950-955. 1998
- Capturing correct solutions in CFD. Lecture Notes in Physics. 171-176. 1998
- Some Differential Equations and Dynamical Systems and Their Applications. 22-38. 1998
- Internal Dynamics of Backpropagation Learning. 179-182. 1998
- Trigonometric Interpretation of Iterative Methods. 23-29. 1996
- Biological Aerodynamic Systems. 33-42. 1994
- SYMMETRY-BREAKING IN CFD - CAUSES AND CONSEQUENCES. International Journal of Modern Physics C. 189-194. 1993
- MATRIX TRIGONOMETRY. Linear Algebra and Its Applications. 117-140. 1993
- Accessing the Null Space with Nonlinear Multilayer Neural Networks. 308-316. 1992
- High Lift/High Thrust Hovering Dynamics. 116-135. 1992
- Human and machine 'quick modelling'. Advances in Neural Information Processing Systems. 1151-1158. 1992
- Semiconductor Voltage-Current Characteristics and Combustion Branching Diagrams. 230-231. 1991
- An Asymptotic Singular Value Decomposition Analysis of Nonlinear Multilayer Neural Networks. 785-789. 1991
- Vortex Patterns, Thrust, and Lift for Hovering Modes. 461-466. 1991
- Antieigenvalues in Analysis. 57-69. 1990
- Computation of Hovering Mode Vortex Dynamics. 98-102. 1990
- Connectionist Nonlinear Over-Relaxation. 179-184. 1990
- Periodicities, Intermittencies, and Criticalities inDriven Cavity and General Flows. 103-107. 1990
- Preconditioned Conjugate Gradient Algorithm for Irregular Finite Element Grids. 60-66. 1990
- Computational Vortex Dynamics: Some history, and Relation to Analytical Treatment. 257-258. 1988
- Nonblowups, Periodicities, Vortex Shreddings in Combustion and Hydrodynamic Flows: A Conference Report. 483-500. 1988
- Parameters of Hopf Bifurcation in Driven Cavity Flow. 278-281. 1988
- Viscous Flows About Airfoils. 139-144. 1988
- Vortex Dynamics of Viscous Flow Around Airfoils. 267-270. 1988
- Numerical methods for finding fluid fine structure. 5-8. 1985
- Parallel methods for heterogeneous fluid structures. 191-208. 1985
- Graph-theoretic aspects of flow computation methods. 219-224. 1984
- Mathematical physics. VII. Physica A: Statistical Mechanics and its Applications. i--ix and 1--715-i--ix and 1--715. 1984
- Scattering theory and the principle of limiting absorption. 335-349. 1978
journal article
- CONDITIONS IMPLYING COMMUTATIVITY OF UNBOUNDED SELF-ADJOINT OPERATORS AND RELATED TOPICS. Journal of Operator Theory. 159-169. 2016
- The importance of imagination (or lack thereof) in artificial, human and quantum decision making. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2016
- Antieigenvalue analysis for continuum mechanics, economics, and number theory. Special Matrices. 1-8. 2016
- Why the Kemeny Time is a constant. Special Matrices. 176-180. 2016
- A new financial risk ratio. Journal of Statistical Computation and Simulation. 2682-2692. 2015
- Time operator of Markov chains and mixing times. Applications to financial data. Physica A: Statistical Mechanics and its Applications. 141-155. 2014
- Unbounded products of operators and connections to Dirac-type operators. Bulletin des Sciences Mathematiques. 626-642. 2014
- IMPLICIT SPACE-TIME DOMAIN DECOMPOSITION METHODS FOR STOCHASTIC PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS. SIAM Journal on Scientific Computing. C1-C24. 2014
- The Future of Mathematics: From the Pure-Applied Debate to Reality. 79-93. 2014
- Financial Time Operator for random walk markets. Chaos, Solitons and Fractals. 62-72. 2013
- Financial Time operator and the complexity of Time. Mind and Matter. 83-100. 2013
- The Summit Club. 29-32. 2013
- On Operator Sum and Product Adjoints and Closures. Canadian Mathematical Bulletin. 456-463. 2011
- Trigonometry of Quantum States. Foundations of Physics. 450-465. 2011
- Slant antieigenvalues and slant antieigenvectors of operators. Linear Algebra and Its Applications. 1348-1362. 2010
- Operator trigonometry of multivariate finance. Journal of Multivariate Analysis. 374-384. 2010
- Experiences and Insights in Mathematical Finance. 35-41. 2010
- On my min-max theorem (1968) and its consequences. Acta et Commentationes Universitatis Tartuensis de Mathematica. 45-51. 2010
- Operator trigonometry of Hotelling correlation, Frobenius condition, Penrose twistor. Linear Algebra and Its Applications. 2762-2770. 2009
- Superstochastic matrices and magic Markov chains. Linear Algebra and Its Applications. 2705-2715. 2009
- The Geometry of Statistical Efficiency and Matrix Statistics. Advances in Decision Sciences. 1-16. 2007
- Reversibility and regularity. International Journal of Theoretical Physics. 1867-1880. 2007
- The End of the Certain World (N. Greenspan). Journal of Scientific Exploration. 416-423. 2007
- The trigonometry of matrix statistics. International Statistical Review. 187-202. 2006
- Meta Math! The Quest for Omega (G. Chaitin). Journal of Scientific Exploration. 332-337. 2006
- Bell and Zeno. International Journal of Theoretical Physics. 1933-1942. 2005
- A World Without Time (P. Yourgrau). Journal of Scientific Exploration. 274-278. 2005
- On the eigenvalues which express antieigenvalues. International Journal of Mathematics and Mathematical Sciences. 1543-1554. 2005
- The Geometry of Statistical Efficiency. 105-121. 2005
- Interaction antieigenvalues. Journal of Mathematical Analysis and Applications. 174-185. 2004
- An inner product lemma. Numerical Linear Algebra with Applications. 649-659. 2004
- Normal degree. Numerical Linear Algebra with Applications. 661-674. 2004
- Positive dilations of piecewise monotonic Markov maps. Infinite Dimensional Analysis Quantum Probability and Related Topics. 261-269. 2004
- Probability from chaos. International Journal of Quantum Chemistry. 150-159. 2004
- Microscopic irreversibility. Discrete Dynamics in Nature and Society. 155-168. 2004
- Invitation to Linear Operators (T, Furuta). SIAM Review. 167-168. 2004
- Continued fractions, wavelet time operators, and inverse problems. Rocky Mountain Journal of Mathematics. 661-688. 2003
- Operator trigonometry of preconditioning, domain decomposition, sparse approximate inverses, successive overrelaxation, minimum residual schemes. Numerical Linear Algebra with Applications. 291-315. 2003
- A Zeno Story. 35-55. 2003
- Professor Ilya Prigogine: A Personal and Scientific Remembrance. Mind and Matter. 9-13. 2003
- Operator trigonometry of statistics and econometrics. Linear Algebra and Its Applications. 141-158. 2002
- CP violation as antieigenvector-breaking. Advances in Chemical Physics. 239-258. 2002
- Distinguishing discretization and discrete dynamics, with application to machine learning, ecology, and atomic physics. 100-111. 2002
- The End of Time (J. Barbour). Journal of Scientific Exploration. 278-280. 2002
- Probability, geometry, and irreversibility in quantum mechanics. Chaos, Solitons and Fractals. 2849-2858. 2001
- Insect flight simulation resembles Navier-Stokes. Physics Today. 82-82. 2001
- An Unconventional Report on the Conference UMC'2K. Bulletin- European Association for Theoretical Computer Science. 186-189. 2001
- An extended operator trigonometry. Linear Algebra and Its Applications. 117-135. 2000
- Quantum trigonometry. Infinite Dimensional Analysis Quantum Probability and Related Topics. 33-52. 2000
- Chaos in discrete learning systems. Chaos, Solitons and Fractals. 321-327. 2000
- The Time operator of wavelets. Chaos, Solitons and Fractals. 443-452. 2000
- Parallel computing forty years ago. Mathematics and Computers in Simulation. 47-62. 1999
- The geometrical meaning of the Kantorovich-Wielandt inequalities. Linear Algebra and Its Applications. 143-151. 1999
- Wavelets and stochastic processes. Mathematics and Computers in Simulation. 81-104. 1999
- A computational trigonometry, and related contributions by Russians Kantorovich, Krein, Kaporin. 73-83. 1999
- Time,Temporality, Now (Atmanspacher, Ruhnau). Journal of Scientific Exploration. 695-703. 1999
- Operator trigonometry of the model problem. Numerical Linear Algebra with Applications. 377-399. 1998
- Haar's wavelets and differential equations. Differential Equations. 829-832. 1998
- On the inverse problem of statistical physics: from irreversible semigroups to chaotic dynamics. Physica A: Statistical Mechanics and its Applications. 345-361. 1998
- (Victor) Gustave Robin: 1855-1897. Mathematical Intelligencer. 47-53. 1998
- Internal sigmoid dynamics in feedforward neural networks. Connection Science. 43-73. 1998
- The third boundary condition - Was it Robin's?. Mathematical Intelligencer. 63-71. 1998
- Contextual quick-learning and generalization by humans and machines. Network: Computation in Neural Systems. 85-106. 1998
- Haar wavelets and differential equations. Differential Equations. 832-863. 1998
- Operator spectral states. Computers and Mathematics with Applications. 467-508. 1997
- Operator trigonometry of iterative methods. Numerical Linear Algebra with Applications. 333-347. 1997
- From irreversible Markov semigroups to chaotic dynamics. Physica A: Statistical Mechanics and its Applications. 296-308. 1997
- Biological dynamical subsystems of hovering flight. Mathematics and Computers in Simulation. 397-410. 1996
- Qualitative features of high lift hovering dynamics and inertial manifolds. Theoretical and Computational Fluid Dynamics. 89-104. 1996
- A NOTE ON OPTIMAL ERGODIC INVARIANT-MEASURES FOR PIECEWISE-LINEAR MAPS ON FRACTAL REPELLERS. Physics Letters, Section A: General, Atomic and Solid State Physics. 117-126. 1995
- THEORY AND COMPUTATION OF PERIODIC-SOLUTIONS OF AUTONOMOUS PARTIAL-DIFFERENTIAL EQUATION BOUNDARY-VALUE-PROBLEMS, WITH APPLICATION TO THE DRIVEN CAVITY PROBLEM. Mathematical and Computer Modelling. 57-75. 1995
- Gustav Robin and Pierre Duhem: A Study of Scientists Caught Within Intellectual Tyrannies. 20-27-20-27. 1995
- Gustav Robin: Evaluation of his major achievements in Thermodynamics and Potential Theory. 22-27. 1995
- ANTIEIGENVALUES. Linear Algebra and Its Applications. 437-454. 1994
- Operator trigonometry. Linear and Multilinear Algebra. 139-159. 1994
- INDUCTIVE INFERENCE AND NEURAL NETS. Network: Computation in Neural Systems. 203-227. 1994
- A NOTE ON TOTAL ANTIEIGENVECTORS. Journal of Mathematical Analysis and Applications. 603-611. 1993
- FROM PROBABILISTIC DESCRIPTIONS TO DETERMINISTIC DYNAMICS. Physica A: Statistical Mechanics and its Applications. 153-166. 1993
- Introduction to Neural and Cognitive Modeling (D. Levine). Mathematics and Computers in Simulation. 458-460. 1993
- Iterative methods for connectionist architectures. 67-88. 1993
- Primacy and Recency Effects in Backpropagation Learning. 271-298. 1993
- Lift and Thrust Generation by an airfoil in hover modes. 47-57. 1992
- A USEFUL ANALOGY BETWEEN SEMICONDUCTOR VOLTAGE-CURRENT CHARACTERISTICS AND COMBUSTION BRANCHING DIAGRAMS. COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering. 465-473. 1991
- COMPUTATIONAL PHYSICS - A COMMENTARY. Mathematics and Computers in Simulation. 269-272. 1991
- COMPUTATION OF DRAGONFLY AERODYNAMICS. Computer Physics Communications. 121-132. 1991
- COMPUTATIONAL PHYSICS - PLENARY LECTURES AND EXPANDED SELECTED PAPERS FROM THE IMACS 1ST INTERNATIONAL-CONFERENCE ON COMPUTATIONAL PHYSICS - BOULDER, 11-15 JUNE 1990 - PREFACE. Computer Physics Communications. R11-R11. 1991
- PRECONDITIONED CONJUGATE-GRADIENT AND FINITE-ELEMENT METHODS FOR MASSIVELY DATA-PARALLEL ARCHITECTURES. Computer Physics Communications. 253-267. 1991
- SEMICONDUCTOR-DEVICE SIMULATION. Computer Physics Communications. 133-136. 1991
- TIME-ASYMPTOTIC FLOW CALCULATION. Computer Physics Communications. 107-116. 1991
- Who is Who in IMACS: K. Gustafson. Mathematics and Computers in Simulation. 263-263. 1991
- HOPF-BIFURCATION IN THE DRIVEN CAVITY. Journal of Computational Physics. 219-261. 1990
- COUNTING THE NUMBER OF SOLUTIONS IN COMBUSTION AND REACTIVE FLOW PROBLEMS. Zeitschrift fur Angewandte Mathematik und Physik. 558-578. 1990
- Matematica Computacional y Matematicos Computacionales. 3-13. 1990
- Stochastic Processes in the Neurosciences (H. Tuckwell). SIAM Review. 318-322. 1990
- Thrust generation by an airfoil in hover modes. Experiments in Fluids. 17-24. 1990
- ANTIEIGENVALUE BOUNDS. Journal of Mathematical Analysis and Applications. 327-340. 1989
- CAVITY FLOW DYNAMICS AT HIGHER REYNOLDS-NUMBER AND HIGHER ASPECT RATIO. Journal of Computational Physics. 271-283. 1987
- VORTEX SEPARATION AND FINE-STRUCTURE DYNAMICS. Applied Numerical Mathematics. 167-182. 1987
- SPECTRAL APPROXIMATION. Journal of Approximation Theory. 272-293. 1986
- MULTIGRID CALCULATION OF SUBVORTICES. Applied Mathematics and Computation. 89-102. 1986
- VORTEX DYNAMICS OF CAVITY FLOWS. Journal of Computational Physics. 279-319. 1986
- ON K-FLOWS AND IRREVERSIBILITY. Journal of Statistical Physics. 317-320. 1986
- Computation of the fine vortex structures of fluids. 355-363. 1986
- Principles of electricity and economics in fluid dynamics. Numerical Methods for Partial Differential Equations. 145-157. 1985
- A NEW METHOD FOR COMPUTING SOLENOIDAL VECTOR-FIELDS ON ARBITRARY REGIONS. International Journal for Numerical Methods in Fluids. 763-783. 1985
- GRAPH-THEORY AND FLUID-DYNAMICS. 643-656. 1985
- THE CURL OF GRAPHS AND NETWORKS. Mathematical modelling. 145-155. 1985
- MATHEMATICAL PHYSICS VII PROCEEDINGS OF THE VIITH INTERNATIONAL-CONGRESS-ON-MATHEMATICAL-PHYSICS BOULDER, COLORADO, USA AUGUST 1-10, 1983 - PREFACE. Physica A: Statistical Mechanics and its Applications. R5-R6. 1984
- CALCULATION OF CRITICAL BRANCHING POINTS IN 2-PARAMETER BIFURCATION PROBLEMS. Journal of Computational Physics. 171-177. 1983
- DIVERGENCE-FREE BASES FOR FINITE-ELEMENT SCHEMES IN HYDRODYNAMICS. SIAM Journal on Numerical Analysis. 697-721. 1983
- Hybrid fast Poisson solvers for fluid dynamics, transonic flow, solenoidal projection, and the Navier-Stokes equations for general domains. 87-96. 1983
- Non-relativistic Quantum Mechanics (W. Amrein). Bulletin of the American Mathematical Society. 477-481. 1983
- THE RKNG (RELLICH, KATO, SZ-NAGY, GUSTAFSON) PERTURBATION THEOREM FOR LINEAR-OPERATORS IN HILBERT AND BANACH-SPACE. Acta Scientiarum Mathematicarum. 201-211. 1983
- EXACT-SOLUTIONS AND IGNITION PARAMETERS IN THE ARRHENIUS CONDUCTION THEORY OF GASEOUS THERMAL-EXPLOSION. Zeitschrift fur Angewandte Mathematik und Physik. 392-405. 1982
- PARTIAL INNER PRODUCT-SPACES AND SEMI-INNER PRODUCT-SPACES. Advances in Mathematics. 281-300. 1981
- WEIGHTED TRIGONOMETRIC APPROXIMATION AND INNER-OUTER FUNCTIONS ON HIGHER DIMENSIONAL EUCLIDEAN SPACES. Journal of Approximation Theory. 368-382. 1981
- ON CONVERSE TO KOOPMANS LEMMA. Physica A: Statistical Mechanics and its Applications. 379-388. 1980
- ON THE EISENBUD-WIGNER FORMULA FOR TIME-DELAY. Mathematical Physics Studies. 381-385. 1980
- Unitary group representations in physics, probability, and number theory (G. Mackey). Bulletin of the American Mathematical Society. 225-229. 1980
- Response to query 150 S. Hastings, The Robin Boundary Condition. Notices of the American Mathematical Society. 103-228. 1979
- NUMERICAL RANGE AND ACCRETIVITY OF OPERATOR PRODUCTS. Journal of Mathematical Analysis and Applications. 693-702. 1977
- Canonical commutation relations of quantum mechanics and stochastic regularity. Mathematical Physics Studies. 275-280. 1976
- ASYMPTOTIC-DISTRIBUTION OF EIGENVALUES OF PRODUCT OPERATORS DETERMINING HYDRODYNAMIC STABILITY. Notices of the American Mathematical Society. A682-A682. 1976
- On algebraic multiplicity. Indiana University Mathematics Journal. 769-781. 1976
- PARTICLE DECAY AND STOCHASTIC REGULARITY. Notices of the American Mathematical Society. A218-A218. 1976
- ALGEBRAIC MULTIPLICITY. Notices of the American Mathematical Society. A627-A627. 1975
- WEYL-BROWDER ALGEBRAIC ESSENTIAL SPECTRUM AND WEINSTEIN-ARONSZAJN DETERMINANT THEORY. Notices of the American Mathematical Society. A709-A709. 1975
- On operator radii. Acta Scientiarum Mathematicarum. 63-68. 1974
- On the absolutely continuous subspace of a self-adjoint operator. Annales Henri Poincare. 163-166. 1974
- Large nonlinearities and closed linear operators. Archive for Rational Mechanics and Analysis. 10-19. 1973
- Some essentially self-adjoint Dirac operators with spherically symmetric potentials. Israel Journal of Mathematics. 63-75. 1973
- Multiplicative perturbation of semigroup generators. Pacific Journal of Mathematics. 731-742. 1972
- Large nonlinearities and monotonicity. Archive for Rational Mechanics and Analysis. 109-122. 1972
- Multiplicative perturbation of nonlinear $m$-accretive operators. 149-158. 1972
- Necessary and sufficient conditions for Weyl’s theorem. Michigan Mathematical Journal. 71-81. 1972
- A branching analysis of the Hartree equation. 723-734 (1972). 1971
- Elements of Functional Analysis (I.J.Maddox). American Mathematical Monthly. 316-317. 1971
- The Toeplitz-Hausdorff theorem for linear operators. Proceedings of the American Mathematical Society. 203-204. 1970
- Some perturbation theorems for nonnegative contraction semigroups*. Journal of the Mathematical Society of Japan. 1969
- Doubling perturbation sizes and preservation of operator indices in normed linear spaces. 281-294. 1969
- On projections of selfadjoint operators and operator product adjoints.. Bulletin of the American Mathematical Society. 739-741. 1969
- On the cosine of unbounded operators. Acta Scientiarum Mathematicarum. 33-34. 1969
- On the essential spectrum. Journal of Mathematical Analysis and Applications. 121-127. 1969
- Compact-Like Operators and the Eberlein Theorem. American Mathematical Monthly. 958-964. 1968
- A note on left multiplication of semigroup generators. Pacific Journal of Mathematics. 463-465. 1968
- A min-max theorem. Notices of the American Mathematical Society. 799-799. 1968
- Positive (noncommuting) operator products and semigroups. Mathematische Zeitschrift. 160-172. 1968
- State diagrams for Hilbert space operators. 33-45. 1968
- The angle of an operator and positive operator products. Bulletin of the American Mathematical Society. 488-492. 1968
- Inequalities for Nonlocal Parabolic and Higher Order Elliptic Equations. SIAM Review. 531-541. 1967
- Stability Inequalities for Semimonotonically Perturbed Nonhomogeneous Boundary Problems. SIAM Journal on Applied Mathematics. 368-391. 1967
- A perturbation lemma. Bulletin of the American Mathematical Society. 334-338. 1966

Background

education and training

Ph.D., University of Maryland College Park Campus 1965
B.S., University of Colorado Boulder 1958

International Activities

geographic focus

Canada Country
China Country
Greece Country

Other Profiles

ORCID iD

http://orcid.org/0000-0002-4583-4469