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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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

Not yet reviewed
Be the first to review

Log in to review

Review was not posted due to profanity
×

, create a review

(If you're not , sign out)

Please enter the right captcha value

Please enter a star rating.

Your review must be a minimum of 12 words.

How do you rate this item?

Reviews must contain at least 12 words about the product.

×

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: Temporarily unavailable - available from TBC
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.
Resources for

Non-Associative Normed Algebras

Miguel Cabrera García, Ángel Rodríguez Palacios
General Resources
- Resources
Find resources associated with this title
Back to resources home

Your search for '' returned .
Type Name Unlocked * Format Size

Showing of

Back to top

This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to lecturers whose faculty status has been verified. To gain access to locked resources, lecturers should sign in to or register for a Cambridge user account.

Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other lecturers may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.

Supplementary resources are subject to copyright. Lecturers are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.

If you are having problems accessing these resources please contact lecturers@cambridge.org.
Authors
Miguel Cabrera García, Universidad de Granada
Miguel Cabrera García is a Professor in the Department of Mathematical Analysis at the University of Granada, Spain. He is a leading expert in non-associative normed algebras and multiplication algebras, and has collaborated with outstanding mathematicians, including M. Bresar, W. S. Martindale III, and E. I. Zel'manov.
Ángel Rodríguez Palacios, Universidad de Granada
Ángel Rodríguez Palacios is a Professor in the Department of Mathematical Analysis at the University of Granada, Spain. He is regarded as the world leader in non-associative normed algebras, and has written more than 150 research papers on normed spaces and associative and non-associative normed algebras. Some of these papers have been written in collaboration with others, including C. H. Chu, H. G. Dales, W. Kaup, M. Neumann, A. M. Slin'ko, D. Yost, G. V. Wood, and E. I. Zel'manov.