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).
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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). 544 pp. Englisch. Seller Inventory # 9789048161768
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 (f. Seller Inventory # 5820028
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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).Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 544 pp. Englisch. Seller Inventory # 9789048161768