Non-Associative Normed Algebras: Volume 2, Representation Theory and the Zel'manov Approach
- English
- PDF
- Available on iOS & Android
Non-Associative Normed Algebras: Volume 2, Representation Theory and the Zel'manov Approach
About this book
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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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.
Frequently asked questions
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Information
Table of contents
- Cover
- Half-title
- Series information
- Title page
- Copyright information
- Dedication
- Contents for volume 2
- Contents for volume 1
- 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
- Bibliography of Volume 1 (updated)
- Additional bibliography to volume 2
- Symbol index for Volume 1
- Subject index for Volume 1
- Symbol index for Volume 2
- Subject index for Volume 2