Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Space

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Publisher : Springer
ISBN 13 : 3540379703
Total Pages : 164 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Space by : P. de la Harpe

Download or read book Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Space written by P. de la Harpe and published by Springer. This book was released on 2006-11-14 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Space

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Publisher :
ISBN 13 : 9780387059846
Total Pages : 95 pages
Book Rating : 4.0/5 (598 download)

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Book Synopsis Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Space by : Luc Illusie

Download or read book Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Space written by Luc Illusie and published by . This book was released on 1972 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Spaces

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Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.:/5 (859 download)

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Book Synopsis Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Spaces by : Pierre De La Harpe

Download or read book Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Spaces written by Pierre De La Harpe and published by . This book was released on 1972 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Space

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Author :
Publisher :
ISBN 13 : 9780387059846
Total Pages : 95 pages
Book Rating : 4.0/5 (598 download)

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Book Synopsis Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Space by : Luc Illusie

Download or read book Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Space written by Luc Illusie and published by . This book was released on 1972 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lie Algebras of Bounded Operators

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Author :
Publisher : Birkhäuser
ISBN 13 : 3034883323
Total Pages : 226 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Lie Algebras of Bounded Operators by : Daniel Beltita

Download or read book Lie Algebras of Bounded Operators written by Daniel Beltita and published by Birkhäuser. This book was released on 2012-12-06 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: In several proofs from the theory of finite-dimensional Lie algebras, an essential contribution comes from the Jordan canonical structure of linear maps acting on finite-dimensional vector spaces. On the other hand, there exist classical results concerning Lie algebras which advise us to use infinite-dimensional vector spaces as well. For example, the classical Lie Theorem asserts that all finite-dimensional irreducible representations of solvable Lie algebras are one-dimensional. Hence, from this point of view, the solvable Lie algebras cannot be distinguished from one another, that is, they cannot be classified. Even this example alone urges the infinite-dimensional vector spaces to appear on the stage. But the structure of linear maps on such a space is too little understood; for these linear maps one cannot speak about something like the Jordan canonical structure of matrices. Fortunately there exists a large class of linear maps on vector spaces of arbi trary dimension, having some common features with the matrices. We mean the bounded linear operators on a complex Banach space. Certain types of bounded operators (such as the Dunford spectral, Foia§ decomposable, scalar generalized or Colojoara spectral generalized operators) actually even enjoy a kind of Jordan decomposition theorem. One of the aims of the present book is to expound the most important results obtained until now by using bounded operators in the study of Lie algebras.

Classical Banach-Lie Alagebras and Banach-Lie Groups of Operators in Hilbert Space

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (879 download)

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Book Synopsis Classical Banach-Lie Alagebras and Banach-Lie Groups of Operators in Hilbert Space by : Pierre de La Harpe

Download or read book Classical Banach-Lie Alagebras and Banach-Lie Groups of Operators in Hilbert Space written by Pierre de La Harpe and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Calkin Algebras and Algebras of Operators on Banach SPates

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Publisher : Routledge
ISBN 13 : 1351462776
Total Pages : 160 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Calkin Algebras and Algebras of Operators on Banach SPates by : Caradus

Download or read book Calkin Algebras and Algebras of Operators on Banach SPates written by Caradus and published by Routledge. This book was released on 2017-10-19 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the appearance of Banach algebra theory, the interaction between the theories ofBanach algebras with involution and that of bounded linear operators on a Hilbert space hasbeen extensively developed. The connections of Banach algebras with the theory ofbounded linear operators on a Hilbert space have also evolved, and Calkin Algebras andAlgebras of Operators on Banach Spaces provides an introduction to this set of ideas.The book begins with a treatment of the classical Riesz-Schauder theory which takesadvantage of the most recent developments-some of this material appears here for the firsttime. Although the reader should be familiar with the basics of functional analysis, anintroductory chapter on Banach algebras has been included. Other topics dealt with includeFredholm operators, semi-Fredholm operators, Riesz operators. and Calkin algebras.This volume will be of direct interest to both graduate students and research mathematicians.

Calkin Algebras and Algebras of Operators on Banach SPates

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Publisher : Routledge
ISBN 13 : 1351462768
Total Pages : 162 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Calkin Algebras and Algebras of Operators on Banach SPates by : Caradus

Download or read book Calkin Algebras and Algebras of Operators on Banach SPates written by Caradus and published by Routledge. This book was released on 2017-10-19 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the appearance of Banach algebra theory, the interaction between the theories ofBanach algebras with involution and that of bounded linear operators on a Hilbert space hasbeen extensively developed. The connections of Banach algebras with the theory ofbounded linear operators on a Hilbert space have also evolved, and Calkin Algebras andAlgebras of Operators on Banach Spaces provides an introduction to this set of ideas.The book begins with a treatment of the classical Riesz-Schauder theory which takesadvantage of the most recent developments-some of this material appears here for the firsttime. Although the reader should be familiar with the basics of functional analysis, anintroductory chapter on Banach algebras has been included. Other topics dealt with includeFredholm operators, semi-Fredholm operators, Riesz operators. and Calkin algebras.This volume will be of direct interest to both graduate students and research mathematicians.

History of Banach Spaces and Linear Operators

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Publisher : Springer Science & Business Media
ISBN 13 : 0817645969
Total Pages : 877 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis History of Banach Spaces and Linear Operators by : Albrecht Pietsch

Download or read book History of Banach Spaces and Linear Operators written by Albrecht Pietsch and published by Springer Science & Business Media. This book was released on 2007-12-31 with total page 877 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a distinguished specialist in functional analysis, this book presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. Banach space theory is presented as a part of a broad mathematics context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, logic, etc. Equal emphasis is given to both spaces and operators. The book may serve as a reference for researchers and as an introduction for graduate students who want to learn Banach space theory with some historical flavor.

Introduction to Banach Algebras, Operators, and Harmonic Analysis

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Publisher : Cambridge University Press
ISBN 13 : 9780521535847
Total Pages : 338 pages
Book Rating : 4.5/5 (358 download)

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Book Synopsis Introduction to Banach Algebras, Operators, and Harmonic Analysis by : H. Garth Dales

Download or read book Introduction to Banach Algebras, Operators, and Harmonic Analysis written by H. Garth Dales and published by Cambridge University Press. This book was released on 2003-11-13 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents

Real Operator Algebras

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Publisher : World Scientific
ISBN 13 : 9789812795182
Total Pages : 264 pages
Book Rating : 4.7/5 (951 download)

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Book Synopsis Real Operator Algebras by : Bingren Li

Download or read book Real Operator Algebras written by Bingren Li and published by World Scientific. This book was released on 2003 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the treatment is from the beginning (real Banach and Hilbert spaces, real Banach algebras,

Hilbert Spaces

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Publisher : Elsevier
ISBN 13 : 008052835X
Total Pages : 597 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Hilbert Spaces by :

Download or read book Hilbert Spaces written by and published by Elsevier. This book was released on 2001-07-11 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has evolved from the lecture course on Functional Analysis I had given several times at the ETH. The text has a strict logical order, in the style of “Definition – Theorem – Proof - Example - Exercises . The proofs are rather thorough and there many examples. The first part of the book(the first three chapters, resp. the first two volumes) is devoted to the theory of Banach spaces in the most general sense of the term. The purpose of the first chapter (resp. first volume) is to introduce those results on Banach spaces which are used later or which are closely connected with the book. It therefore only contains a small part of the theory, and several results are stated (and proved) in a diluted form. The second chapter (which together with Chapter 3 makes the second volume) deals with Banach algebras (and involutive Banach algebras), which constitute the main topic of the first part of the book. The third chapter deals with compact operators on Banach spaces and linear (ordinary and partial) differential equations - applications of the, theory of Banach algebras.

Banach Algebra Techniques in Operator Theory

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Publisher : Academic Press
ISBN 13 : 0080873642
Total Pages : 233 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Banach Algebra Techniques in Operator Theory by :

Download or read book Banach Algebra Techniques in Operator Theory written by and published by Academic Press. This book was released on 1972-10-23 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Banach Algebra Techniques in Operator Theory

Banach Algebras and Their Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 0821834711
Total Pages : 362 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Banach Algebras and Their Applications by : Anthony To-Ming Lau

Download or read book Banach Algebras and Their Applications written by Anthony To-Ming Lau and published by American Mathematical Soc.. This book was released on 2004 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume is from the international conference on Banach Algebras and Their Applications held at the University of Alberta (Edmonton). It contains a collection of refereed research papers and high-level expository articles that offer a panorama of Banach algebra theory and its manifold applications. Topics in the book range from - theory to abstract harmonic analysis to operator theory. It is suitable for graduate students and researchers interested in Banach algebras.

Symmetric Banach Manifolds and Jordan C*-Algebras

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Publisher : Elsevier
ISBN 13 : 0080872158
Total Pages : 457 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Symmetric Banach Manifolds and Jordan C*-Algebras by : H. Upmeier

Download or read book Symmetric Banach Manifolds and Jordan C*-Algebras written by H. Upmeier and published by Elsevier. This book was released on 2011-08-18 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book links two of the most active research areas in present day mathematics, namely Infinite Dimensional Holomorphy (on Banach spaces) and the theory of Operator Algebras (C*-Algebras and their non-associative generalizations, the Jordan C*-Algebras). It organizes in a systematic way a wealth of recent results which are so far only accessible in research journals and contains additional original contributions. Using Banach Lie groups and Banach Lie algebras, a theory of transformation groups on infinite dimensional manifolds is presented which covers many important examples such as Grassmann manifolds and the unit balls of operator algebras. The theory also has potential importance for mathematical physics by providing foundations for the construction of infinite dimensional curved phase spaces in quantum field theory.

Banach Algebra Techniques in the Theory of Toeplitz Operators

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821888643
Total Pages : 66 pages
Book Rating : 4.8/5 (886 download)

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Book Synopsis Banach Algebra Techniques in the Theory of Toeplitz Operators by : Ronald G. Douglas

Download or read book Banach Algebra Techniques in the Theory of Toeplitz Operators written by Ronald G. Douglas and published by American Mathematical Soc.. This book was released on 1980 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Representation of Lie Groups and Special Functions

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792314660
Total Pages : 650 pages
Book Rating : 4.3/5 (146 download)

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Book Synopsis Representation of Lie Groups and Special Functions by : Naum I︠A︡kovlevich Vilenkin

Download or read book Representation of Lie Groups and Special Functions written by Naum I︠A︡kovlevich Vilenkin and published by Springer Science & Business Media. This book was released on 1991-11-30 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: One service mathematici has rendered the 'Et moi, ... si j'avait IU comment en revenir. je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belong., on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense', Eric T. Bell able to do something with it. O. H eaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other pans and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'el;re of this series."