Non-Associative Normed Algebras
2 Volume Hardback Set
Part of Encyclopedia of Mathematics and its Applications
- Authors:
- Miguel Cabrera García, Universidad de Granada
- Ángel Rodríguez Palacios, Universidad de Granada
- Date Published: May 2018
- availability: Available
- format: Multiple copy pack
- isbn: 9781108679077
Multiple copy pack
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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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. The 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 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. 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.
Read more- Brings together research previously scattered across many different papers and books
- Authors are both leading experts in the field
- Unique resource for students and researchers in the field
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×Product details
- Date Published: May 2018
- format: Multiple copy pack
- isbn: 9781108679077
- length: 1494 pages
- dimensions: 241 x 165 x 85 mm
- weight: 2.44kg
- availability: Available
Table of Contents
Volume 1: 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. Volume 2: Preface
5. Non-commutative JBW*-algebras, JB*-triples revisited, and a unit-free Vidav–Palmer type non-associative theorem
6. Representation theory for non-commutative JB*-algebras and alternative C*-algebras
7. Zel'manov approach
8. Selected topics in the theory of non-associative normed algebras
Reference – Papers
References – Books
Symbol index for Volume 2
Subject index for Volume 2
Symbol index for Volume 1
Subject index for Volume 1.-
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