PARTIAL *- ALGEBRAS AND THEIR OPERATOR REALIZATIONS by Jean-Pierre Antoine, Atsushi Inoue, Camillo Trapani ( 9789048161768 )

Item Details

Title:

PARTIAL *- ALGEBRAS AND THEIR OPERATOR REALIZATIONS

By:

Jean-Pierre Antoine, Atsushi Inoue, Camillo Trapani

Format:

Paperback

List price:	£90.00
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ISBN 10:

9048161762

ISBN 13:

9789048161768

Publisher:

SPRINGER

Pub. date:

3 December, 2010

Edition:

Softcover reprint of hardcover 1st ed. 2003

Series:

Mathematics and Its Applications 553

Pages:

522

Synopsis:

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).

Illustrations:

XX, 522 p.

Publication:

Netherlands

Imprint:

Springer

Returns:

Returnable

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