Extensions Of Linear Transformations In Hilbert Space Which Extend Beyond This Space
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Extensions Of Linear Transformations In Hilbert Space Which Extend Beyond This Space
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Author : Béla Szőkefalvi-Nagy
language : en
Publisher:
Release Date : 1960
Extensions Of Linear Transformations In Hilbert Space Which Extend Beyond This Space written by Béla Szőkefalvi-Nagy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Functional analysis categories.
Extensions Of Linear Transformations In Hilbert Space Which Extend Beyond This Space
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Author : Béla Szőkefalvi-Nagy
language : en
Publisher:
Release Date : 1965
Extensions Of Linear Transformations In Hilbert Space Which Extend Beyond This Space written by Béla Szőkefalvi-Nagy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.
Extensions Of Linear Transformations In Hilbert Space Which Extend Beyond This Space
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Author : Béla Szökefalvi-Nagy
language : es
Publisher:
Release Date : 1960
Extensions Of Linear Transformations In Hilbert Space Which Extend Beyond This Space written by Béla Szökefalvi-Nagy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with categories.
Harmonic Analysis Of Operators On Hilbert Space
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Author : Béla Sz Nagy
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-01
Harmonic Analysis Of Operators On Hilbert Space written by Béla Sz Nagy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-01 with Mathematics categories.
The existence of unitary dilations makes it possible to study arbitrary contractions on a Hilbert space using the tools of harmonic analysis. The first edition of this book was an account of the progress done in this direction in 1950-70. Since then, this work has influenced many other areas of mathematics, most notably interpolation theory and control theory. This second edition, in addition to revising and amending the original text, focuses on further developments of the theory, including the study of two operator classes: operators whose powers do not converge strongly to zero, and operators whose functional calculus (as introduced in Chapter III) is not injective. For both of these classes, a wealth of material on structure, classification and invariant subspaces is included in Chapters IX and X. Several chapters conclude with a sketch of other developments related with (and developing) the material of the first edition.
Commutation Properties Of Hilbert Space Operators And Related Topics
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Author : Calvin R. Putnam
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Commutation Properties Of Hilbert Space Operators And Related Topics written by Calvin R. Putnam and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
What could be regarded as the beginning of a theory of commutators AB - BA of operators A and B on a Hilbert space, considered as a dis cipline in itself, goes back at least to the two papers of Weyl [3] {1928} and von Neumann [2] {1931} on quantum mechanics and the commuta tion relations occurring there. Here A and B were unbounded self-adjoint operators satisfying the relation AB - BA = iI, in some appropriate sense, and the problem was that of establishing the essential uniqueness of the pair A and B. The study of commutators of bounded operators on a Hilbert space has a more recent origin, which can probably be pinpointed as the paper of Wintner [6] {1947}. An investigation of a few related topics in the subject is the main concern of this brief monograph. The ensuing work considers commuting or "almost" commuting quantities A and B, usually bounded or unbounded operators on a Hilbert space, but occasionally regarded as elements of some normed space. An attempt is made to stress the role of the commutator AB - BA, and to investigate its properties, as well as those of its components A and B when the latter are subject to various restrictions. Some applica tions of the results obtained are made to quantum mechanics, perturba tion theory, Laurent and Toeplitz operators, singular integral trans formations, and Jacobi matrices.
Appendix
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Author : Frigyes Riesz
language : en
Publisher:
Release Date : 1960
Appendix written by Frigyes Riesz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Functional analysis categories.
Functional Analysis
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Author : Frigyes Riesz
language : en
Publisher: Courier Corporation
Release Date : 2012-12-27
Functional Analysis written by Frigyes Riesz and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-27 with Mathematics categories.
DIVClassic exposition of modern theories of differentiation and integration and principal problems and methods of handling integral equations and linear functionals and transformations. 1955 edition. /div
Extensions Of Linear Transformations In Hilbert Space
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Author : George Heriot
language : en
Publisher:
Release Date : 1960
Extensions Of Linear Transformations In Hilbert Space written by George Heriot and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with categories.
Extensions Of Linear Transformations In Hilbert Spaces Which Extend Beyond This Space
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Author :
language : en
Publisher:
Release Date : 1960
Extensions Of Linear Transformations In Hilbert Spaces Which Extend Beyond This Space written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with categories.
The Commutant Lifting Approach To Interpolation Problems
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Author : Foias
language : en
Publisher: Birkhäuser
Release Date : 2013-11-11
The Commutant Lifting Approach To Interpolation Problems written by Foias and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Social Science categories.
Classical H interpolation theory was conceived at the beginning of the century by C. Caratheodory, L. Fejer and I. Schur. The basic method, due to Schur, in solving these problems consists in applying the Mobius transform to peel off the data. In 1967, D. Sarason encompassed these classical interpolation problems in a representation theorem of operators commuting with special contractions. Shortly after that, in 1968, B. Sz. Nagy and C. Foias obtained a purely geometrical extension of Sarason's results. Actually, their result states that operators intertwining restrictions of co-isometries can be extended, by preserving their norm, to operators intertwining these co-isometries; starring with R. G. Douglas, P. S. Muhly and C. Pearcy, this is referred to as the commutant lifting theorem. In 1957, Z. Nehari considered an L interpolation problern which in turn encompassed the same classical interpolation problems, as well as the computation of the distance of a function f in L to H . At about the sametime as Sarason's work, V. M."