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Non-associative Normed Algebras ― Representation Theory and the Zel'manov Approach
- 系列名：Encyclopedia of Math and its Applications
- ISBN13：9781107043114
- 出版社：Cambridge Univ Pr
- 作者：Miguel Cabrera García
- 裝訂／頁數：精裝／754頁
- 規格：24.1cm*16.5cm*5.1cm (高/寬/厚)
- 出版日：2018/04/30
定 價：NT$ 9230 元
優惠價：90 折 8307 元
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This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This second volume revisits JB*-triples, covers Zel'manov's celebrated work in Jordan theory, proves the unit-free variant of the Vidav–Palmer theorem, and develops the representation theory of alternative C*-algebras and non-commutative JB*-algebras. This completes the work begun in the first volume, which introduced these algebras and discussed the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems. This book interweaves pure algebra, geometry of normed spaces, and infinite-dimensional complex analysis. Novel proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, and an extensive bibliography.
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