E-Book, Englisch, Band 154, 0 Seiten
Cabrera García / Garcia / Rodríguez Palacios Non-Associative Normed Algebras
Erscheinungsjahr 2014
ISBN: 978-1-139-99045-5
Verlag: Cambridge University Press
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
Volume 1, The Vidav–Palmer and Gelfand–Naimark Theorems
E-Book, Englisch, Band 154, 0 Seiten
Reihe: Encyclopedia of Mathematics and its Applications
ISBN: 978-1-139-99045-5
Verlag: Cambridge University Press
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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 first volume focuses on the non-associative generalizations of (associative) C*-algebras provided by the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems, which give rise to alternative C*-algebras and non-commutative JB*-algebras, respectively. The relationship between non-commutative JB*-algebras and JB*-triples is also fully discussed. The second volume covers Zel'manov's celebrated work in Jordan theory to derive classification theorems for non-commutative JB*-algebras and JB*-triples, as well as other topics. The book interweaves pure algebra, geometry of normed spaces, and complex analysis, and includes a wealth of historical comments, background material, examples and exercises. The authors also provide an extensive bibliography.
Autoren/Hrsg.
Weitere Infos & Material
Preface; 1. Foundations; 2. Beginning the proof of the non-associative Vidav–Palmer theorem; 3. Concluding the proof of the non-associative Vidav–Palmer theorem; 4. Jordan spectral theory; References; Symbol index; Subject index.
