Non-Associative Normed Algebras Volume 2: Representation Theory and the Zel’manov Approach (Encyclopedia of Mathematics and Its Applications #167)
By: and
Sign Up Now!
Already a Member? Log In
You must be logged into Bookshare to access this title.
Learn about membership options,
or view our freely available titles.
- Synopsis
- 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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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 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.
- Copyright:
- 2018
Book Details
- Book Quality:
- Publisher Quality
- ISBN-13:
- 9781108570763
- Related ISBNs:
- 9781107043114, 9781107043114
- Publisher:
- Cambridge University Press
- Date of Addition:
- 06/15/18
- Copyrighted By:
- Miguel Cabrera García and Ángel Rodríguez Palacios
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.