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Noncommutative Dynamics and E-Semigroups (2003)

Contributor(s): Arveson, William (Author)

ISBN: 9780387001517

Publisher: Springer

Hardcover
$109.99
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Pub Date: May 12, 2003

Dewey: 512.24

LCCN: 2002042734

Lexile Code: 0000

Features: Bibliography, Illustrated, Index

Target Age Group: NA to NA

Physical Info: 1.03" H x 9.52" L x 6.38" W ( 1.64 lbs) 434 pages

Series: Springer Monographs in Mathematics

Descriptions, Reviews, etc.

Description: This book introduces the notion of an E-semigroup, a generalization of the known concept of E-0 semigroup. These objects are families of endomorphisms of a von Neumann Algebra satisfying certain natural algebraic and continuity conditions.

Review Quotes:

From the reviews:

"This book serves as a good introduction to the currently very active field of E0-semigroups. ... This reviewer thinks that this is a timely publication in an area that has advanced rapidly in recent years ... . the reviewer is happy to recommend this book." (Masamichi Takesaki, SIAM Review, Vol. 46 (4), 2004)

"The book is suitable for researchers and students who have had a first course in functional analysis ... . For traditional researchers in operator algebras the book should be of interest because it looks at problems in a new way ... . As someone who has been studying E0-semigroups for just shy of twenty years I am extremely pleased with the appearance of this valuable book, which I virtually carry with me." (Robert T. Powers, Mathematical Reviews, 2004 g)

"The author of this book is one of the great names in functional analysis ... . The book has clearly been written with the goal of teaching the subject; the exposition is crisp, clear, and will be accessible to graduate students. ... It is superbly written ... . In addition to being the essential reference for those working on E0-semigroups, this magnificent book will be useful and inspirational to a wide range of mathematicians and mathematical physicists." (D. P. Blecher, Proceedings of the Edinburgh Mathematical Society, Vol. 49, 2006)

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