Partial-Algebras and Their Operator Realizations: 553 - Rilegato

Antoine, Jean Pierre; Inoue, Atsushi; Trapani, Camillo

Rilegato

ISBN 10: 1402010257 ISBN 13: 9781402010255

Casa editrice: Kluwer Academic Pub, 2002

Riassunto

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. Schmüdgen [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).

Su questo libro

Contenuti

Foreword. Introduction. I: Theory of Partial O*-Algebras. 1. Unbounded Linear Operators in Hilbert Spaces. 2. Partial O*-Algebras. 3.Commutative Partial O*-Algebras. 4. Topologies on Partial O*-Algebras. 5. Tomita Takesaki Theory in Partial O*-Algebras. II: Theory of Partial *-Algebras. 6. Partial *-Algebras. 7. *-Representations of Partial *-Algebras. 8. Well-behaved X>*-Representations. 9. Biweights on Partial *-Algebras. 10. Quasi *-Algebras of Operators in Rigged Hilbert Spaces. 11. Physical Applications. Outcome. Bibliography. Index.

Product Description

Book by ANTOINE JeanPierre Inoue Atsushi Trapani C

Dettagli dell'edizione

• Editore: Kluwer Academic Pub
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 1402010257
• ISBN 13: 9781402010255
• Rilegatura: Copertina rigida
• Numero di pagine: 521
• Contatto del produttore: non disponibile
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