2002, ISBN: 1402010257

[EAN: 9781402010255], Neubuch, [PU: Springer Netherlands Dez 2002], ANALYSIS; CALCULUS; MATHEMATIK; C\\*-ALGEBRA; HILBERTSPACE; TOPOLOGY; ALGEBRA; THEORE, This item is printed on demand -… Mehr…

[EAN: 9781402010255], Neubuch, [PU: Springer Netherlands Dez 2002], ANALYSIS; CALCULUS; MATHEMATIK; C\\*-ALGEBRA; HILBERTSPACE; TOPOLOGY; ALGEBRA; THEORE, 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). 546 pp. En, Books<

ISBN: 9781402010255

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… Mehr…

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<

2002, ISBN: 1402010257

[EAN: 9781402010255], New book, [PU: Springer], pp. 548, Books