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portada Non-Associative Normed Algebras: Volume 2 (Encyclopedia of Mathematics and its Applications)
Type
Physical Book
Publisher
Author
Year
2018
Language
English
Pages
754
Format
Hardcover
ISBN13
9781107043114
Edition No.
1
Categories

Non-Associative Normed Algebras: Volume 2 (Encyclopedia of Mathematics and its Applications)

Miguel Cabrera GarcÍA; ÁNgel RodrÍGuez Palacios (Author) · Cambridge University Press · Hardcover

Non-Associative Normed Algebras: Volume 2 (Encyclopedia of Mathematics and its Applications) - Miguel Cabrera GarcÍA; ÁNgel RodrÍGuez Palacios

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Synopsis "Non-Associative Normed Algebras: Volume 2 (Encyclopedia of Mathematics and its Applications) "

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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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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