Partial Algebras and Their Operator Realizations is popular PDF and ePub book, written by J-P Antoine in 2013-06-29, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Partial Algebras and Their Operator Realizations can be Read Online from any device for your convenience.
Partial Algebras and Their Operator Realizations Book PDF Summary
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).
Detail Book of Partial Algebras and Their Operator Realizations PDF
- Author : J-P Antoine
- Release : 29 June 2013
- Publisher : Springer Science & Business Media
- ISBN : 9789401700658
- Genre : Mathematics
- Total Page : 530 pages
- Language : English
- PDF File Size : 19,6 Mb
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