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Více informací o knize Partial -Algebras and Their Operator Realizations

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Anotace knihy

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).

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Partial -Algebras and Their Operator Realizations
• Autor: Jean-Pierre Antoine, I. Inoue, C. Trapani
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 548
• EAN: 9789048161768
• ISBN: 9048161762
• ID: 01974586
• Nakladatelství: Springer Netherlands
• Hmotnost: 825 g
• Rozměry: 240 × 160 × 27 mm
• Datum vydání: 07. October 2010

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