Fundamentals of the Theory of Operator Algebras. Volume II
Title | Fundamentals of the Theory of Operator Algebras. Volume II PDF eBook |
Author | Richard V. Kadison |
Publisher | American Mathematical Soc. |
Pages | 702 |
Release | 1997 |
Genre | Mathematics |
ISBN | 9780821808207 |
Volume two of the two-volume set (see ISBN 0-8218-0819-2) covers the comparison theory of projection, normal states and unitary equivalence of von Newmann algebras, the trade, algebra and commutant, special representation of C*-algebras, tensor products, approximation by matrix algebras, crossed products, and direct integrals and decompositions. Originally published by Academic Press in 1986. Annotation copyrighted by Book News, Inc., Portland, OR
Theory of Operator Algebras I
Title | Theory of Operator Algebras I PDF eBook |
Author | Masamichi Takesaki |
Publisher | Springer Science & Business Media |
Pages | 424 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1461261880 |
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.
Fundamentals of the Theory of Operator Algebras. V2
Title | Fundamentals of the Theory of Operator Algebras. V2 PDF eBook |
Author | |
Publisher | Academic Press |
Pages | 691 |
Release | 1986-06-10 |
Genre | Mathematics |
ISBN | 0080874177 |
Fundamentals of the Theory of Operator Algebras. V2
Fundamentals of the Theory of Operator Algebras. Volume III
Title | Fundamentals of the Theory of Operator Algebras. Volume III PDF eBook |
Author | Richard V. Kadison |
Publisher | American Mathematical Soc. |
Pages | 290 |
Release | 1998-01-13 |
Genre | Mathematics |
ISBN | 0821894692 |
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.
Operator Algebras
Title | Operator Algebras PDF eBook |
Author | Bruce Blackadar |
Publisher | Springer Science & Business Media |
Pages | 530 |
Release | 2006-03-09 |
Genre | Mathematics |
ISBN | 3540285172 |
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.
Fundamentals of the Theory of Operator Algebras. Volume IV
Title | Fundamentals of the Theory of Operator Algebras. Volume IV PDF eBook |
Author | Richard V. Kadison |
Publisher | American Mathematical Soc. |
Pages | 604 |
Release | 1998-01-13 |
Genre | Mathematics |
ISBN | 0821894684 |
This volume is the companion volume to Fundamentals of the Theory of Operator Algebras. Volume II--Advanced Theory (Graduate Studies in Mathematics series, Volume 16). 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 II--Advanced Theory.
Fundamentals of the Theory of Operator Algebras
Title | Fundamentals of the Theory of Operator Algebras PDF eBook |
Author | Richard V. Kadison |
Publisher | |
Pages | |
Release | 1986 |
Genre | |
ISBN | 9780123933027 |