Operator Algebras, Operator Theory and Applications

Operator Algebras, Operator Theory and Applications PDF Author: Maria Amélia Bastos
Publisher: Springer Science & Business Media
ISBN: 3764386843
Category : Mathematics
Languages : en
Pages : 443

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Book Description
This book is composed of three survey lecture courses and some twenty invited research papers presented to WOAT 2006 - the International Summer School and Workshop on Operator Algebras, Operator Theory and Applications, held at Lisbon in September 2006. The volume reflects recent developments in the area of operator algebras and their interaction with research fields in complex analysis and operator theory. The book is aimed at postgraduates and researchers in these fields.

Operator Algebras, Operator Theory and Applications

Operator Algebras, Operator Theory and Applications PDF Author: Maria Amélia Bastos
Publisher: Springer Science & Business Media
ISBN: 3764386843
Category : Mathematics
Languages : en
Pages : 443

Get Book Here

Book Description
This book is composed of three survey lecture courses and some twenty invited research papers presented to WOAT 2006 - the International Summer School and Workshop on Operator Algebras, Operator Theory and Applications, held at Lisbon in September 2006. The volume reflects recent developments in the area of operator algebras and their interaction with research fields in complex analysis and operator theory. The book is aimed at postgraduates and researchers in these fields.

Selfadjoint and nonselfadjoint operator algebras and operator theory

Selfadjoint and nonselfadjoint operator algebras and operator theory PDF Author:
Publisher: American Mathematical Soc.
ISBN: 9780821854532
Category : Operator algebras
Languages : en
Pages : 215

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Book Description


Nonselfadjoint Operator Algebras, Operator Theory, and Related Topics

Nonselfadjoint Operator Algebras, Operator Theory, and Related Topics PDF Author: H. Bercovicii
Publisher: Birkhäuser
ISBN: 3034887795
Category : Mathematics
Languages : en
Pages : 213

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Book Description
This volume, dedicated to Carl Pearcy on the occasion of his 60th birthday, presents recent results in operator theory, nonselfadjoint operator algebras, measure theory and the theory of moments. The articles on these subjects have been contributed by leading area experts, many of whom were associated with Carl Pearcy as students or collaborators. The book testifies to his multifaceted interests and includes a biographical sketch and a list of publications.

Operator Algebras and Applications

Operator Algebras and Applications PDF Author: A. Katavolos
Publisher: Springer Science & Business Media
ISBN: 9401155003
Category : Mathematics
Languages : en
Pages : 470

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Book Description
During the last few years, the theory of operator algebras, particularly non-self-adjoint operator algebras, has evolved dramatically, experiencing both international growth and interfacing with other important areas. The present volume presents a survey of some of the latest developments in the field in a form that is detailed enough to be accessible to advanced graduate students as well as researchers in the field. Among the topics treated are: operator spaces, Hilbert modules, limit algebras, reflexive algebras and subspaces, relations to basis theory, C* algebraic quantum groups, endomorphisms of operator algebras, conditional expectations and projection maps, and applications, particularly to wavelet theory. The volume also features an historical paper offering a new approach to the Pythagoreans' discovery of irrational numbers.

Selfadjoint and Nonselfadjoint Operator Algebras and Operator Theory

Selfadjoint and Nonselfadjoint Operator Algebras and Operator Theory PDF Author: Robert S. Doran
Publisher: American Mathematical Soc.
ISBN: 0821851276
Category : Mathematics
Languages : en
Pages : 242

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Book Description
This book contains papers presented at the NSF/CBMS Regional Conference on Coordinates in Operator Algebras, held at Texas Christian University in Fort Worth in May 1990. During the conference, in addition to a series of ten lectures by Paul S Muhly (which will be published in a CBMS Regional Conference Series volume), there were twenty-eight lectures delivered by conference participants on a broad range of topics of current interest in operator algebras and operator theory. This volume contains slightly expanded versions of most of those lectures. Participants were encouraged to bring open problems to the conference, and, as a result, there are over one hundred problems and questions scattered throughout this volume. Readers will appreciate this book for the overview it provides of current topics and methods of operator algebras and operator theory.

C*-Algebras and Operator Theory

C*-Algebras and Operator Theory PDF Author: Gerald J. Murphy
Publisher: Academic Press
ISBN: 0080924964
Category : Mathematics
Languages : en
Pages : 297

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Book Description
This book constitutes a first- or second-year graduate course in operator theory. It is a field that has great importance for other areas of mathematics and physics, such as algebraic topology, differential geometry, and quantum mechanics. It assumes a basic knowledge in functional analysis but no prior acquaintance with operator theory is required.

Theory of Operator Algebras II

Theory of Operator Algebras II PDF Author: Masamichi Takesaki
Publisher: Springer Science & Business Media
ISBN: 9783540429142
Category : Mathematics
Languages : en
Pages : 552

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Book Description
Together with Theory of Operator Algebras I and III, this book presents the theory of von Neumann algebras and non-commutative integration focusing on the group of automorphisms and the structure analysis. From the reviews: "These books can be warmly recommended to every graduate student who wants to become acquainted with this exciting branch of mathematics. Furthermore, they should be on the bookshelf of every researcher of the area." --ACTA SCIENTIARUM MATHEMATICARUM

Introduction to the Theory of Linear Nonselfadjoint Operators

Introduction to the Theory of Linear Nonselfadjoint Operators PDF Author: Israel Gohberg
Publisher: American Mathematical Soc.
ISBN: 9780821886502
Category : Mathematics
Languages : en
Pages : 402

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Book Description


Theory of Operator Algebras I

Theory of Operator Algebras I PDF Author: Masamichi Takesaki
Publisher: Springer Science & Business Media
ISBN: 1461261880
Category : Mathematics
Languages : en
Pages : 424

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Book Description
Mathematics for infinite dimensional objects is becoming more and more important today both in theory and application. Rings of operators, renamed von Neumann algebras by J. Dixmier, were first introduced by J. von Neumann fifty years ago, 1929, in [254] with his grand aim of giving a sound founda tion to mathematical sciences of infinite nature. J. von Neumann and his collaborator F. J. Murray laid down the foundation for this new field of mathematics, operator algebras, in a series of papers, [240], [241], [242], [257] and [259], during the period of the 1930s and early in the 1940s. In the introduction to this series of investigations, they stated Their solution 1 {to the problems of understanding rings of operators) seems to be essential for the further advance of abstract operator theory in Hilbert space under several aspects. First, the formal calculus with operator-rings leads to them. Second, our attempts to generalize the theory of unitary group-representations essentially beyond their classical frame have always been blocked by the unsolved questions connected with these problems. Third, various aspects of the quantum mechanical formalism suggest strongly the elucidation of this subject. Fourth, the knowledge obtained in these investigations gives an approach to a class of abstract algebras without a finite basis, which seems to differ essentially from all types hitherto investigated. Since then there has appeared a large volume of literature, and a great deal of progress has been achieved by many mathematicians.

A User's Guide to Operator Algebras

A User's Guide to Operator Algebras PDF Author: Peter A. Fillmore
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 248

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Book Description
The subject of operator algebras has experienced tremendous growth in recent years with significant applications to areas within algebraic mathematics as well as allied areas such as single operator theory, non-self-adjoint operator algegras, K-theory, knot theory, ergodic theory, and mathematical physics. This book makes recent developments in operator algebras accessible to the non-specialist.