{"product_id":"partial-algebras-and-their-operator-realizations-von-j-p-antoine-i-inoue-c-trapani","title":"Partial *- Algebras and Their Operator Realizations","description":"\n                                Algebras of bounded operators are familiar, either as C\n                \n                \u003csup\u003e*\u003c\/sup\u003e\n                                -algebras or as von Neumann algebras. A first generalization is the notion of algebras of unbounded operators (O\n                \n                \u003csup\u003e*\u003c\/sup\u003e\n                                -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 \n                \n                \u003csup\u003e*\u003c\/sup\u003e\n                                -algebras of unbounded operators (partial O\n                \n                \u003csup\u003e*\u003c\/sup\u003e\n                                -algebras) and the underlying algebraic structure, namely, partial \n                \n                \u003csup\u003e*\u003c\/sup\u003e\n                                -algebras. It is the first textbook on this topic. \n                \n                \u003cbr\u003e\n                                The first part is devoted to partial O\n                \n                \u003csup\u003e*\u003c\/sup\u003e\n                                -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. \n                \n                \u003cbr\u003e\n                                The second part focuses on abstract partial \n                \n                \u003csup\u003e*\u003c\/sup\u003e\n                                -algebras and their representation theory, obtaining again generalizations of familiar theorems (Radon-Nikodym, Lebesgue).\n            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9781402010255\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9789048161768\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Hardcover - 9781402010255","offer_id":51078223302,"sku":"9781402010255","price":53.49,"currency_code":"EUR","in_stock":true},{"title":"Softcover - 9789048161768","offer_id":39416537022557,"sku":"9789048161768","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/1c250430-56c3-49b3-a6a0-aa098df5a732.jpg?v=1772088036","url":"https:\/\/shop.autorenwelt.de\/products\/partial-algebras-and-their-operator-realizations-von-j-p-antoine-i-inoue-c-trapani","provider":"Autorenwelt Shop","version":"1.0","type":"link"}