Introduction To Hilbert Space And The Theory Of Spectral Multiplicity Halmos
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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 : 2017-11-15
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 2017-11-15 with Mathematics categories.
Concise introductory treatment consists of three chapters: The Geometry of Hilbert Space, The Algebra of Operators, and The Analysis of Spectral Measures. A background in measure theory is the sole prerequisite. 1957 edition.
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 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 : 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.
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."
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.
Introduction To Banach Spaces And Algebras
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Author : Graham Allan
language : en
Publisher: Oxford University Press
Release Date : 2010-11-04
Introduction To Banach Spaces And Algebras written by Graham Allan and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-04 with Mathematics categories.
Banach spaces and algebras are a key topic of pure mathematics. Graham Allan's careful and detailed introductory account will prove essential reading for anyone wishing to specialise in functional analysis and is aimed at final year undergraduates or masters level students. Based on the author's lectures to fourth year students at Cambridge University, the book assumes knowledge typical of first degrees in mathematics, including metric spaces, analytic topology, and complex analysis. However, readers are not expected to be familiar with the Lebesgue theory of measure and integration. The text begins by giving the basic theory of Banach spaces, including dual spaces and bounded linear operators. It establishes forms of the theorems that are the pillars of functional analysis, including the Banach-Alaoglu, Hahn-Banach, uniform boundedness, open mapping, and closed graph theorems. There are applications to Fourier series and operators on Hilbert spaces. The main body of the text is an introduction to the theory of Banach algebras. A particular feature is the detailed account of the holomorphic functional calculus in one and several variables; all necessary background theory in one and several complex variables is fully explained, with many examples and applications considered. Throughout, exercises at sections ends help readers test their understanding, while extensive notes point to more advanced topics and sources. The book was edited for publication by Professor H. G. Dales of Leeds University, following the death of the author in August, 2007.
Lectures On Ergodic Theory
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Author : Paul Richard Halmos
language : en
Publisher: American Mathematical Soc.
Release Date : 1956
Lectures On Ergodic Theory written by Paul Richard Halmos and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with Mathematics categories.
This classic book is based on lectures given by the author at the University of Chicago in 1956. The topics covered include, in particular, recurrence, the ergodic theorems, and a general discussion of ergodicity and mixing properties. There is also a general discussion of the relation between conjugacy and equivalence. With minimal prerequisites of some analysis and measure theory, this work can be used for a one-semester course in ergodic theory or for self-study.
A Course In Functional Analysis
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Author : John B Conway
language : en
Publisher: Springer
Release Date : 2019-03-09
A Course In Functional Analysis written by John B Conway and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-09 with Mathematics categories.
Functional analysis has become a sufficiently large area of mathematics that it is possible to find two research mathematicians, both of whom call themselves functional analysts, who have great difficulty understanding the work of the other. The common thread is the existence of a linear space with a topology or two (or more). Here the paths diverge in the choice of how that topology is defined and in whether to study the geometry of the linear space, or the linear operators on the space, or both. In this book I have tried to follow the common thread rather than any special topic. I have included some topics that a few years ago might have been thought of as specialized but which impress me as interesting and basic. Near the end of this work I gave into my natural temptation and included some operator theory that, though basic for operator theory, might be considered specialized by some functional analysts.