{"product_id":"9781402010255","title":"Mathematics and Its Applications","description":"\u003ch1\u003eMathematics and Its Applications\u003c\/h1\u003e \u003ch2\u003eAntoine, J-P; Inoue, I.; Trapani, C.\u003c\/h2\u003e \u003cp\u003eAlgebras of bounded operators are familiar, either as C\u003csup\u003e*\u003c\/sup\u003e-algebras or as von Neumann algebras. A first generalization is the notion of algebras of unbounded operators (O\u003csup\u003e*\u003c\/sup\u003e-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 \u003csup\u003e*\u003c\/sup\u003e-algebras of unbounded operators (partial O\u003csup\u003e*\u003c\/sup\u003e-algebras) and the underlying algebraic structure, namely, partial \u003csup\u003e*\u003c\/sup\u003e-algebras. It is the first textbook on this topic. \u003cbr\u003eThe first part is devoted to partial O\u003csup\u003e*\u003c\/sup\u003e-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. \u003cbr\u003eThe second part focuses on abstract partial \u003csup\u003e*\u003c\/sup\u003e-algebras and their representation theory, obtaining again generalizations of familiar theorems (Radon-Nikodym, Lebesgue).\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2002-12-31\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9781402010255\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-94-017-0065-8\u003c\/p\u003e \u003cp\u003eDimensions: 234cm x156cm\u003c\/p\u003e \u003cp\u003ePages: 522\u003c\/p\u003e ","brand":"Springer Netherlands","offers":[{"title":"Default Title","offer_id":46539689689228,"sku":"9781402010255","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781402010255.jpg?v=1775678978","url":"https:\/\/lateknightbooks.com\/products\/9781402010255","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}