Partial *- Algebras and Their Operator Realizations (Paperback, Softcover reprint of hardcover 1st ed. 2003)

Algebras of bounded operators are familiar, either as C*-algebras or as von Neumann algebras. A first generalization is the notion of algebras of unbounded operators (O*-algebras), mostly developed by the Leipzig school and in Japan (for a review, we refer to the monographs of K. Schmudgen 1990] and A. Inoue 1998]). This volume goes one step further, by considering systematically partial *-algebras of unbounded operators (partial O*-algebras) and the underlying algebraic structure, namely, partial *-algebras. It is the first textbook on this topic.
The first part is devoted to partial O*-algebras, basic properties, examples, topologies on them. The climax is the generalization to this new framework of the celebrated modular theory of Tomita-Takesaki, one of the cornerstones for the applications to statistical physics.
The second part focuses on abstract partial *-algebras and their representation theory, obtaining again generalizations of familiar theorems (Radon-Nikodym, Lebesgue)."

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 553
Release date:	December 2010
First published:	2003
Authors:	J.P. Antoine • I. Inoue • C. Trapani
Dimensions:	235 x 155 x 27mm (L x W x T)
Format:	Paperback
Pages:	522
Edition:	Softcover reprint of hardcover 1st ed. 2003
ISBN-13:	978-90-481-6176-8
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
LSN:	90-481-6176-2
Barcode:	9789048161768

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