An Introduction To Operator Algebras

Author : Kehe Zhu
Publisher : CRC Press
ISBN 13 : 9780849378751
Total Pages : 172 pages
Book Rating : 4.53/5 ( download)

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Download or read book An Introduction to Operator Algebras written by Kehe Zhu and published by CRC Press. This book was released on 1993-05-27 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Operator Algebras is a concise text/reference that focuses on the fundamental results in operator algebras. Results discussed include Gelfand's representation of commutative C*-algebras, the GNS construction, the spectral theorem, polar decomposition, von Neumann's double commutant theorem, Kaplansky's density theorem, the (continuous, Borel, and L8) functional calculus for normal operators, and type decomposition for von Neumann algebras. Exercises are provided after each chapter.

Author : Bruce Blackadar
Publisher : Springer Science & Business Media
ISBN 13 : 3540285172
Total Pages : 530 pages
Book Rating : 4.75/5 ( download)

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Download or read book Operator Algebras written by Bruce Blackadar and published by Springer Science & Business Media. This book was released on 2006-03-09 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive introduction to the general theory of C*-algebras and von Neumann algebras. Beginning with the basics, the theory is developed through such topics as tensor products, nuclearity and exactness, crossed products, K-theory, and quasidiagonality. The presentation carefully and precisely explains the main features of each part of the theory of operator algebras; most important arguments are at least outlined and many are presented in full detail.

Author : Masamichi Takesaki
Publisher : Springer Science & Business Media
ISBN 13 : 1461261880
Total Pages : 424 pages
Book Rating : 4.89/5 ( download)

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Download or read book Theory of Operator Algebras I written by Masamichi Takesaki and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : James Lepowsky
Publisher : Springer Science & Business Media
ISBN 13 : 0817681868
Total Pages : 330 pages
Book Rating : 4.69/5 ( download)

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Download or read book Introduction to Vertex Operator Algebras and Their Representations written by James Lepowsky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Introduces the fundamental theory of vertex operator algebras and its basic techniques and examples. * Begins with a detailed presentation of the theoretical foundations and proceeds to a range of applications. * Includes a number of new, original results and brings fresh perspective to important works of many other researchers in algebra, lie theory, representation theory, string theory, quantum field theory, and other areas of math and physics.

Author : Richard V. Kadison
Publisher : American Mathematical Soc.
ISBN 13 : 0821894692
Total Pages : 290 pages
Book Rating : 4.99/5 ( download)

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Download or read book Fundamentals of the Theory of Operator Algebras. Volume III written by Richard V. Kadison and published by American Mathematical Soc.. This book was released on 1998-01-13 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the companion volume to Fundamentals of the Theory of Operator Algebras. Volume I--Elementary Theory (Graduate Studies in Mathematics series, Volume 15). The goal of the text proper is to teach the subject and lead readers to where the vast literature--in the subject specifically and in its many applications--becomes accessible. The choice of material was made from among the fundamentals of what may be called the "classical" theory of operator algebras. This volume contains the written solutions to the exercises in the Fundamentals of the Theory of Operator Algebras. Volume I--Elementary Theory.

Author : Bing-Ren Li
Publisher : World Scientific
ISBN 13 : 9789810209414
Total Pages : 758 pages
Book Rating : 4.1X/5 ( download)

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Download or read book Introduction to Operator Algebras written by Bing-Ren Li and published by World Scientific. This book was released on 1992 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introductory text on one of the most important fields of Mathematics, the theory of operator algebras. It offers a readable exposition of the basic concepts, techniques, structures and important results of operator algebras. Written in a self-contained manner, with an emphasis on understanding, it serves as an ideal text for graduate students.

Author : Gerald J. Murphy
Publisher : Academic Press
ISBN 13 : 0080924964
Total Pages : 297 pages
Book Rating : 4.60/5 ( download)

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Download or read book C*-Algebras and Operator Theory written by Gerald J. Murphy and published by Academic Press. This book was released on 2014-06-28 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Igor Frenkel
Publisher : Academic Press
ISBN 13 : 0080874541
Total Pages : 563 pages
Book Rating : 4.48/5 ( download)

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Download or read book Vertex Operator Algebras and the Monster written by Igor Frenkel and published by Academic Press. This book was released on 1989-05-01 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics. The first part of the book presents a new mathematical theory of vertex operator algebras, the algebraic counterpart of two-dimensional holomorphic conformal quantum field theory. The remaining part constructs the Monster finite simple group as the automorphism group of a very special vertex operator algebra, called the "moonshine module" because of its relevance to "monstrous moonshine."

Author : Gilles Pisier
Publisher : Cambridge University Press
ISBN 13 : 9780521811651
Total Pages : 492 pages
Book Rating : 4.51/5 ( download)

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Download or read book Introduction to Operator Space Theory written by Gilles Pisier and published by Cambridge University Press. This book was released on 2003-08-25 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the theory of operator spaces, emphasising applications to C*-algebras.

Author : Kehe Zhu
Publisher : CRC Press
ISBN 13 : 1351467034
Total Pages : 176 pages
Book Rating : 4.32/5 ( download)

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Download or read book An Introduction to Operator Algebras written by Kehe Zhu and published by CRC Press. This book was released on 2018-05-11 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Operator Algebras is a concise text/reference that focuses on the fundamental results in operator algebras. Results discussed include Gelfand's representation of commutative C*-algebras, the GNS construction, the spectral theorem, polar decomposition, von Neumann's double commutant theorem, Kaplansky's density theorem, the (continuous, Borel, and L8) functional calculus for normal operators, and type decomposition for von Neumann algebras. Exercises are provided after each chapter.