Non-associative normed algebras. Volume 2, Representation theory and the Zel'manov approach / Miguel Cabrera García, Ángel Rodríguez Palacios

Author:: Cabrera García, Miguel
Published:: Cambridge : Cambridge University Press, 2018.
Physical Description:: 1 online resource (xxvii, 729 pages) : digital, PDF file(s).
Additional Creators:: Rodriguez Palacios, Ángel

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Series:

Encyclopedia of mathematics and its applications ; 167

Summary:

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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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

9781107337817 (ebook)
9781107043114 (hardback)

Note:

Title from publisher's bibliographic system (viewed on 24 Apr 2018).

View MARC record | catkey: 34851304