Non-Associative Normed Algebras - Associative Normed Algebras: Series Number 15

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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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

Sommario

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.

Info autore

Miguel Cabrera García is Professor in the Department of Mathematical Analysis at the University of Granada, Spain.

Riassunto

The first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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 of two focuses on C*-algebras and related structure.

Dettagli sul prodotto

• Autori: Miguel Cabrera Garcia, Miguel (Universidad De Granada) Ro Cabrera Garcia, Miguel Rodriguez Palacios Cabrera Garcia, Miguel Cabrera García, Angel Rodriguez Palacios, Ángel Rodríguez Palacios
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 31.07.2014
• EAN: 9781107043060
• ISBN: 978-1-107-04306-0
• Pagine: 733
• Serie: Encyclopedia of Mathematics and Its Applications; Encyclopedia of Mathematics and its Applications; Non-Associative Normed Algebras 2 Volume Hardback Set
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Aritmetica, algebra; Algebra, MATHEMATICS / Algebra / General