Non-Associative Normed Algebras: Volume 2, Representation Theory and the Zel'manov Approach (eBook)

Miguel Cabrera Garcia, Angel Rodriguez Palacios (Autoren)

eBook Download: EPUB

2018
Cambridge University Press (Verlag)
978-1-108-57076-3 (ISBN)

Infos

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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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

Produkt-Details

• Erscheint lt. Verlag: 12.4.2018
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 1-108-57076-3 / 1108570763
• ISBN-13: 978-1-108-57076-3 / 9781108570763