Boolean Algebras Of Projections And Ranges Of Spectral Measures
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Boolean Algebras Of Projections And Ranges Of Spectral Measures
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Author : S. Okada
language : en
Publisher:
Release Date : 1997
Boolean Algebras Of Projections And Ranges Of Spectral Measures written by S. Okada and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Algebra, Boolean categories.
Operator Algebras Generated By Commuting Projections A Vector Measure Approach
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Author : Werner Ricker
language : en
Publisher: Springer
Release Date : 2006-11-14
Operator Algebras Generated By Commuting Projections A Vector Measure Approach written by Werner Ricker and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
This book presents a systematic investigation of the theory of those commutative, unital subalgebras (of bounded linear operators acting in a Banach space) which are closed for some given topology and are generated by a uniformly bounded Boolean algebra of projections. One of the main aims is to employ the methods of vector measures and integration as a unifying theme throughout. This yields proofs of several classical results which are quite different to the classical ones. This book is directed to both those wishing to learn this topic for the first time and to current experts in the field.
Recent Progress In Functional Analysis
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Author : K.D. Bierstedt
language : en
Publisher: Elsevier
Release Date : 2001-09-20
Recent Progress In Functional Analysis written by K.D. Bierstedt and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-09-20 with Mathematics categories.
This Proceedings Volume contains 32 articles on various interesting areas ofpresent-day functional analysis and its applications: Banach spaces andtheir geometry, operator ideals, Banach and operator algebras, operator andspectral theory, Frechet spaces and algebras, function and sequence spaces.The authors have taken much care with their articles and many papers presentimportant results and methods in active fields of research. Several surveytype articles (at the beginning and the end of the book) will be very usefulfor mathematicians who want to learn "what is going on" in some particularfield of research.
Acta Scientiarum Mathematicarum
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Author : József Attila Tudományegyetem
language : en
Publisher:
Release Date : 1997
Acta Scientiarum Mathematicarum written by József Attila Tudományegyetem and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
International Conference On Analytic Methods In Number Theory And Analysis Moscow 14 19 September 1981
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Author :
language : en
Publisher: American Mathematical Soc.
Release Date : 1986
International Conference On Analytic Methods In Number Theory And Analysis Moscow 14 19 September 1981 written by 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 1986 with Mathematics categories.
This collection consists of papers delivered at an international conference by the most eminent specialists in the domains of number theory, algebra, and analysis. The papers are devoted to actual problems in these domains of mathematics. In addition, short communications presented by participants in the conference are included.
Numerical Ranges Of Operators On Normed Spaces And Of Elements Of Normed Algebras
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Author : F. F. Bonsall
language : en
Publisher: CUP Archive
Release Date : 1971-03-02
Numerical Ranges Of Operators On Normed Spaces And Of Elements Of Normed Algebras written by F. F. Bonsall and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-03-02 with Mathematics categories.
The authors develop various applications, in particular to the study of Banach algebras where the numerical range provides an important link between the algebraic and metric structures.
Quantum Measurement
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Author : Paul Busch
language : en
Publisher: Springer
Release Date : 2016-08-23
Quantum Measurement written by Paul Busch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-23 with Science categories.
This is a book about the Hilbert space formulation of quantum mechanics and its measurement theory. It contains a synopsis of what became of the Mathematical Foundations of Quantum Mechanics since von Neumann’s classic treatise with this title. Fundamental non-classical features of quantum mechanics—indeterminacy and incompatibility of observables, unavoidable measurement disturbance, entanglement, nonlocality—are explicated and analysed using the tools of operational quantum theory. The book is divided into four parts: 1. Mathematics provides a systematic exposition of the Hilbert space and operator theoretic tools and relevant measure and integration theory leading to the Naimark and Stinespring dilation theorems; 2. Elements develops the basic concepts of quantum mechanics and measurement theory with a focus on the notion of approximate joint measurability; 3. Realisations offers in-depth studies of the fundamental observables of quantum mechanics and some of their measurement implementations; and 4. Foundations discusses a selection of foundational topics (quantum-classical contrast, Bell nonlocality, measurement limitations, measurement problem, operational axioms) from a measurement theoretic perspective. The book is addressed to physicists, mathematicians and philosophers of physics with an interest in the mathematical and conceptual foundations of quantum physics, specifically from the perspective of measurement theory.
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.
Invariant Subspaces And Other Topics
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Author : Apostol
language : en
Publisher: Birkhäuser
Release Date : 2013-11-21
Invariant Subspaces And Other Topics written by Apostol and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Social Science categories.
The annual Operator Theory conferences in Timigoara are conceived as a means to promote cooperation and exchange of in formation between specialists in all areas of Operator Theory. The present volume consist of papers contributed by the partici pants of the 1981 Conference. Since many of these papers contain results on the invariant subspace problem or are related to the role of invariant subspaces in the study of operators or operator systems, we thought it appropiate to mention this in the title of the volume, though the "other topics" have a wide range. As in past years, special sessions concerning other fields of Functio nal Analysis were organized at the 1981 Conference, but contri butions to these sessions are not included in the present volume. The research contracts of the Department of Mathematics of INCREST with the National Council for Sciences and Technology of Romaliia provided the means for developping the research activity in Functional Analysis; these contracts constitute the generous framework for these meetings. We want also to acknowledge the support of INCREST and the excelent organizing job done by our host - University of Timigoa ra-. Professor Dumitru Gagpar and Professor Mircea Reghig are among those people in Timigoara who contributed in an essential way to the success of the meeting.
Positivity
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Author : Karim Boulabiar
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-16
Positivity written by Karim Boulabiar 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 2007-12-16 with Mathematics categories.
This book presents nine survey articles addressing topics surrounding positivity, with an emphasis on functional analysis. The book assembles a wide spectrum of research into positivity, providing up-to-date information on topics of current interest. The discussion provides insight into classical areas like spaces of continuous functions, f-algebras, and integral operators. The coverage extends is broad, including vector measures, operator spaces, ordered tensor products, and non-commutative Banach function spaces.