ばいちょ(売価調査)、価格比較とネットでのお買い物を楽に

内容説明 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. Schm-dgen [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).