Operator Algebras Operator Theory And Applications


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Operator Theory, Operator Algebras, and Applications


Operator Theory, Operator Algebras, and Applications

Author: Deguang Han

language: en

Publisher: American Mathematical Soc.

Release Date: 2006


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This book offers a presentation of some new trends in operator theory and operator algebras, with a view to their applications. It consists of separate papers written by some of the leading practitioners in the field. The content is put together by the three editors in a way that should help students and working mathematicians in other parts of the mathematical sciences gain insight into an important part of modern mathematics and its applications. While different specialist authors are outlining new results in this book, the presentations have been made user friendly with the aid of tutorial material. In fact, each paper contains three things: a friendly introduction with motivation, tutorial material, and new research. The authors have strived to make their results relevant to the rest of mathematics. A list of topics discussed in the book includes wavelets, frames and their applications, quantum dynamics, multivariable operator theory, $C*$-algebras, and von Neumann algebras. Some longer papers present recent advances on particular, long-standing problems such as extensions and dilations, the Kadison-Singer conjecture, and diagonals of self-adjoint operators.

Operator Algebras, Operator Theory and Applications


Operator Algebras, Operator Theory and Applications

Author: Maria Amélia Bastos

language: en

Publisher: Springer Science & Business Media

Release Date: 2008-05-27


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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.

Theory of Operator Algebras I


Theory of Operator Algebras I

Author: M. Takesaki

language: en

Publisher: Springer Science & Business Media

Release Date: 2001-11-20


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Since its inception by von Neumann 70 years ago, the theory of operator algebras has become a rapidly developing area of importance for the understanding of many areas of mathematics and theoretical physics. Accessible to the non-specialist, this first part of a three-volume treatise provides a clear, carefully written survey that emphasizes the theory's analytical and topological aspects.