The Experts below are selected from a list of 315 Experts worldwide ranked by ideXlab platform
Peter Rosenthal - One of the best experts on this subject based on the ideXlab platform.
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a glimpse at hilbert space operators paul r Halmos in memoriam
2010Co-Authors: Sheldon Axler, Peter Rosenthal, Donald SarasonAbstract:Preface. 1. About Paul Halmos.- Paul Halmos - Expositor par excellence, by V. S. Sunder.- Paul Halmos: In his own words, by John Ewing.- Obituary: Paul Halmos, 1916-2006, by Heydar Radjavi and Peter Rosenthal.- Mathematical Review of How to write mathematics, by George Piranian.- 2. Publications of Paul R. Halmos.- Photos.- 4. Articles.- Jim Agler and John E. McCarthy, What can Hilbert spaces tell us about bounded functions in the bidisk?.- William Arveson, Dilation theory yesterday and today.- Sheldon Axler, Toeplitz operators.- Hari Bercovici, Dual algebras and invariant subspaces.- John B. Conway and Nathan S. Feldman, The state of subnormal operators.- Raul Curto and Mihai Putinar, Polynomially hyponormal operators.- Kenneth R. Davidson, Essentially normal operators.- Michael A. Dritschel and James Rovnyak, The operator Fejer-Riesz Theorem.- Paul S. Muhly, A Halmos doctrine and shifts on Hilbert space.- V. V. Peller, The behavior of functions of operators under perturbations.- Gilles Pisier, The Halmos similarity problem.- Heydar Radjavi and Peter Rosenthal, Paul Halmos and invariant subspaces.
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A Glimpse at Hilbert Space Operators - A Glimpse at Hilbert Space Operators
2010Co-Authors: Sheldon Axler, Peter Rosenthal, Donald SarasonAbstract:The book is a commemorative volume honoring the mathematician Paul R. Halmos (1916-2006), who contributed passionately to mathematics in manifold ways, among them by basic research, by unparalleled mathematical exposition, by unselfish service to the mathematical community, and, not least, by the inspiration others found in his dedication to that community. Halmos made fundamental contributions in several areas of mathematics. This volume emphasizes Halmos' contributions to operator theory, his venue for most of his mathematical life. The core of the volume is a series of expository articles
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Obituary: Paul Halmos, 1916–2006
A Glimpse at Hilbert Space Operators, 2010Co-Authors: Heydar Radjavi, Peter RosenthalAbstract:Paul Halmos, one of the most influential mathematicians of the last half of the twentieth century, died at the age of ninety on October 2, 2006. Paul wrote “To be a mathematician you must love mathematics more than family, religion, money, comfort, pleasure, glory.” Paul did love mathematics. He loved thinking about it, talking about it, giving lectures and writing articles and books. Paul also loved language, almost as much as he loved mathematics. That is why his books and expository articles are so wonderful. Paul took Hardy’s famous dictum that “there is no permanent place in the world for ugly mathematics” very seriously: he reformulated and polished all the mathematics that he wrote and lectured about, and presented it in the most beautiful way.
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Publications of Paul R. Halmos
A Glimpse at Hilbert Space Operators, 2010Co-Authors: Sheldon Axler, Peter Rosenthal, Donald SarasonAbstract:The publications are listed chronologically, articles and books separately. Not listed are translations of Paul’s articles and books, of which there have been many (in French, German, Bulgarian, Russian, Czech, Polish, Finnish, Catalan).
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Paul Halmos and Invariant Subspaces
A Glimpse at Hilbert Space Operators, 2010Co-Authors: Heydar Radjavi, Peter RosenthalAbstract:This paper consists of a discussion of the contributions that Paul Halmos made to the study of invariant subspaces of bounded linear operators on Hilbert space.
Takahiko Nakazi - One of the best experts on this subject based on the ideXlab platform.
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Brown-Halmos Type Theorems of Weighted Toeplitz Operators
Canadian Mathematical Bulletin, 1998Co-Authors: Takahiko NakaziAbstract:The spectra of the Toeplitz operators on the weighted Hardy space ${{H}^{2}}\,(W\,d\theta \,/\,2\pi )$ and the Hardy space ${{H}^{p}}\,(d\theta \,/\,2\pi )$ , and the singular integral operators on the Lebesgue space ${{L}^{2}}\,(d\theta \,/\,2\pi )$ are studied. For example, the theorems of Brown-Halmos type and Hartman-Wintner type are studied.
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brown Halmos type theorems of weighted toeplitz operators
Preprint Series of Department of Mathematics Hokkaido University, 1997Co-Authors: Takahiko NakaziAbstract:The spectra of the Toeplitz operators on the weighted Hardy space H 2 (Wd 2 ) and the Hardy space H p (d 2 ), and the singular integral operators on the Lebesgue space L 2 (d 2 ) are studied. For example, the theorems of Brown-Halmos type and Hartman-Wintner type are studied.
Benjamin Weiss - One of the best experts on this subject based on the ideXlab platform.
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Relative weak mixing is generic
Science China Mathematics, 2018Co-Authors: Eli Glasner, Benjamin WeissAbstract:A classical result of Halmos asserts that among measure preserving transformations the weak mixing property is generic. We extend Halmos’ result to the collection of ergodic extensions of a fixed, but arbitrary, aperiodic transformation T0. We then use a result of Ornstein and Weiss to extend this relative theorem to the general (countable) amenable group.
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Relative weak mixing is generic
arXiv: Dynamical Systems, 2017Co-Authors: Eli Glasner, Benjamin WeissAbstract:A classical result of Halmos asserts that among measure preserving transformations the weak mixing property is generic. We extend Halmos' result to the collection of ergodic extensions of a fixed, but arbitrary, ergodic transformation $T_0$. We then use a result of Connes, Feldman and Weiss to extend this relative theorem to the general (countable) amenable group.
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Relative Discrete Spectrum and Joinings
Monatshefte f?r Mathematik, 2002Co-Authors: Mariusz Lemańczyk, Jean-paul Thouvenot, Benjamin WeissAbstract:A joining characterization of ergodic isometric extensions is given. We also give a simple joining proof of a relative version of the Halmos-von Neumann theorem.
Sheldon Axler - One of the best experts on this subject based on the ideXlab platform.
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a glimpse at hilbert space operators paul r Halmos in memoriam
2010Co-Authors: Sheldon Axler, Peter Rosenthal, Donald SarasonAbstract:Preface. 1. About Paul Halmos.- Paul Halmos - Expositor par excellence, by V. S. Sunder.- Paul Halmos: In his own words, by John Ewing.- Obituary: Paul Halmos, 1916-2006, by Heydar Radjavi and Peter Rosenthal.- Mathematical Review of How to write mathematics, by George Piranian.- 2. Publications of Paul R. Halmos.- Photos.- 4. Articles.- Jim Agler and John E. McCarthy, What can Hilbert spaces tell us about bounded functions in the bidisk?.- William Arveson, Dilation theory yesterday and today.- Sheldon Axler, Toeplitz operators.- Hari Bercovici, Dual algebras and invariant subspaces.- John B. Conway and Nathan S. Feldman, The state of subnormal operators.- Raul Curto and Mihai Putinar, Polynomially hyponormal operators.- Kenneth R. Davidson, Essentially normal operators.- Michael A. Dritschel and James Rovnyak, The operator Fejer-Riesz Theorem.- Paul S. Muhly, A Halmos doctrine and shifts on Hilbert space.- V. V. Peller, The behavior of functions of operators under perturbations.- Gilles Pisier, The Halmos similarity problem.- Heydar Radjavi and Peter Rosenthal, Paul Halmos and invariant subspaces.
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A Glimpse at Hilbert Space Operators - A Glimpse at Hilbert Space Operators
2010Co-Authors: Sheldon Axler, Peter Rosenthal, Donald SarasonAbstract:The book is a commemorative volume honoring the mathematician Paul R. Halmos (1916-2006), who contributed passionately to mathematics in manifold ways, among them by basic research, by unparalleled mathematical exposition, by unselfish service to the mathematical community, and, not least, by the inspiration others found in his dedication to that community. Halmos made fundamental contributions in several areas of mathematics. This volume emphasizes Halmos' contributions to operator theory, his venue for most of his mathematical life. The core of the volume is a series of expository articles
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Publications of Paul R. Halmos
A Glimpse at Hilbert Space Operators, 2010Co-Authors: Sheldon Axler, Peter Rosenthal, Donald SarasonAbstract:The publications are listed chronologically, articles and books separately. Not listed are translations of Paul’s articles and books, of which there have been many (in French, German, Bulgarian, Russian, Czech, Polish, Finnish, Catalan).
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Paul Halmos and Toeplitz Operators
PAUL HALMOS Celebrating 50 Years of Mathematics, 1991Co-Authors: Sheldon AxlerAbstract:Paul Halmos has written two papers and several snippets about Toeplitz operators. Another of his papers was motivated by a major result in Toeplitz operator theory. This article is the story of Halmos’s work on Toeplitz operators and its influence upon the field.
Patrick Ahern - One of the best experts on this subject based on the ideXlab platform.
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a theorem of brown Halmos type for bergman space toeplitz operators
Journal of Functional Analysis, 2001Co-Authors: Patrick Ahern, željko CuckovicAbstract:Abstract We study the analogues of the Brown–Halmos theorem for Toeplitz operators on the Bergman space. We show that for f and g harmonic, T f T g = T h only in the trivial case, provided that h is of class C 2 with the invariant laplacian bounded. Here the trivial cases are f or g holomorphic. From this we conclude that the zero-product problem for harmonic symbols has only the trivial solution. Finally, we provide examples that show that the Brown–Halmos theorem fails for general symbols, even for symbols continuous up to the boundary.
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A Theorem of Brown–Halmos Type for Bergman Space Toeplitz Operators
Journal of Functional Analysis, 2001Co-Authors: Patrick Ahern, Željko ČučkovićAbstract:Abstract We study the analogues of the Brown–Halmos theorem for Toeplitz operators on the Bergman space. We show that for f and g harmonic, T f T g = T h only in the trivial case, provided that h is of class C 2 with the invariant laplacian bounded. Here the trivial cases are f or g holomorphic. From this we conclude that the zero-product problem for harmonic symbols has only the trivial solution. Finally, we provide examples that show that the Brown–Halmos theorem fails for general symbols, even for symbols continuous up to the boundary.
