Introduction To Hilbert Space And The Theory Of Spectral Multiplicity
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Introduction To Hilbert Space And The Theory Of Spectral Multiplicity
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Author : Paul R. Halmos
language : en
Publisher: Courier Dover Publications
Release Date : 2017-12-13
Introduction To Hilbert Space And The Theory Of Spectral Multiplicity written by Paul R. Halmos and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-13 with Mathematics categories.
This concise introductory treatment consists of three chapters: The Geometry of Hilbert Space, The Algebra of Operators, and The Analysis of Spectral Measures. Author Paul R. Halmos notes in the Preface that his motivation in writing this text was to make available to a wider audience the results of the third chapter, the so-called multiplicity theory. The theory as he presents it deals with arbitrary spectral measures, including the multiplicity theory of normal operators on a not necessarily separable Hilbert space. His explication covers, as another useful special case, the multiplicity theory of unitary representations of locally compact abelian groups. Suitable for advanced undergraduates and graduate students in mathematics, this volume's sole prerequisite is a background in measure theory. The distinguished mathematician E. R. Lorch praised the book in the Bulletin of the American Mathematical Society as "an exposition which is always fresh, proofs which are sophisticated, and a choice of subject matter which is certainly timely."
Introduction To Hilbert Space And The Theory Of Spectral Multiplicity
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Author : Paul R. Halmos
language : en
Publisher:
Release Date : 2013-09
Introduction To Hilbert Space And The Theory Of Spectral Multiplicity written by Paul R. Halmos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09 with Mathematics categories.
2013 Reprint of 1951 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. The subject matter of the book is funneled into three chapters: [1] The geometry of Hubert space; [2] the structure of self-adjoint and normal operators; [3] and multiplicity theory for a normal operator. For the last, an expert knowledge of measure theory is indispensable. Indeed, multiplicity theory is a magnificent measure-theoretic tour de force. The subject matter of the first two chapters might be said to constitute an introduction to Hilbert space, and for these, an a priori knowledge of classic measure theory is not essential. Paul Richard Halmos (1916-2006) was a Hungarian-born American mathematician who made fundamental advances in the areas of probability theory, statistics, operator theory, ergodic theory, and functional analysis (in particular, Hilbert spaces). He was also recognized as a great mathematical expositor.
Introduction To Hilbert Space And The Theory Of Spectral Multiplicity
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Author : Paul Richard Halmos
language : en
Publisher:
Release Date : 1960
Introduction To Hilbert Space And The Theory Of Spectral Multiplicity written by Paul Richard Halmos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Hilbert space categories.
Introduction To Hilbert Space And The Theory Of Spectral Multiplicity
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Author : Paul R (Paul Richard) 1916- Halmos
language : en
Publisher: Hassell Street Press
Release Date : 2021-09-10
Introduction To Hilbert Space And The Theory Of Spectral Multiplicity written by Paul R (Paul Richard) 1916- Halmos and has been published by Hassell Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-10 with categories.
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Introduction To Hilbert Space And The Theory Of Spectral Multiplicity Halmos
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Author : Paul Richard Halmos
language : en
Publisher:
Release Date :
Introduction To Hilbert Space And The Theory Of Spectral Multiplicity Halmos written by Paul Richard Halmos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Introduction To Hilbert Space And The Theory Of Spectral Multiplicity
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Author : James Bryant Conant
language : en
Publisher:
Release Date : 1957
Introduction To Hilbert Space And The Theory Of Spectral Multiplicity written by James Bryant Conant and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with categories.
Introduction To Hilbert Space
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Author :
language : en
Publisher:
Release Date : 1951
Introduction To Hilbert 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 1951 with Hilbert space categories.
Theory Of Linear Operators In Hilbert Space
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Author : N. I. Akhiezer
language : en
Publisher: Courier Corporation
Release Date : 2013-04-15
Theory Of Linear Operators In Hilbert Space written by N. I. Akhiezer and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-15 with Mathematics categories.
This classic textbook by two mathematicians from the USSR's prestigious Kharkov Mathematics Institute introduces linear operators in Hilbert space, and presents in detail the geometry of Hilbert space and the spectral theory of unitary and self-adjoint operators. It is directed to students at graduate and advanced undergraduate levels, but because of the exceptional clarity of its theoretical presentation and the inclusion of results obtained by Soviet mathematicians, it should prove invaluable for every mathematician and physicist. 1961, 1963 edition.
Linear Systems And Operators In Hilbert Space
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Author : Paul A. Fuhrmann
language : en
Publisher: Courier Corporation
Release Date : 2014-02-19
Linear Systems And Operators In Hilbert Space written by Paul A. Fuhrmann and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-19 with Mathematics categories.
A treatment of system theory within the context of finite dimensional spaces, this text is appropriate for students with no previous experience of operator theory. The three-part approach, with notes and references for each section, covers linear algebra and finite dimensional systems, operators in Hilbert space, and linear systems in Hilbert space. 1981 edition.
A Hilbert Space Problem Book
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Author : P.R. Halmos
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
A Hilbert Space Problem Book written by P.R. Halmos 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.
From the Preface: "This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks... The second part, a very short one, consists of hints... The third part, the longest, consists of solutions: proofs, answers, or contructions, depending on the nature of the problem.... This is not an introduction to Hilbert space theory. Some knowledge of that subject is a prerequisite: at the very least, a study of the elements of Hilbert space theory should proceed concurrently with the reading of this book."