Split Faces and Ideal Structure of Operator Algebras PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Split Faces and Ideal Structure of Operator Algebras PDF full book. Access full book title Split Faces and Ideal Structure of Operator Algebras by Harald Hanche-Olsen. Download full books in PDF and EPUB format.
Author: Harald Hanche-Olsen
Publisher:
ISBN: 9788255304067
Category : Operator algebras
Languages : en
Pages : 38
Get Book
Book Description
Author: Harald Hanche-Olsen
Publisher:
ISBN: 9788255304067
Category : Operator algebras
Languages : en
Pages : 38
Get Book
Book Description
Author: Erik M. Alfsen
Publisher: Springer Science & Business Media
ISBN: 1461200199
Category : Mathematics
Languages : en
Pages : 467
Get Book
Book Description
In this book we give a complete geometric description of state spaces of operator algebras, Jordan as well as associative. That is, we give axiomatic characterizations of those convex sets that are state spaces of C*-algebras and von Neumann algebras, together with such characterizations for the normed Jordan algebras called JB-algebras and JBW-algebras. These non associative algebras generalize C*-algebras and von Neumann algebras re spectively, and the characterization of their state spaces is not only of interest in itself, but is also an important intermediate step towards the characterization of the state spaces of the associative algebras. This book gives a complete and updated presentation of the character ization theorems of [10]' [11] and [71]. Our previous book State spaces of operator algebras: basic theory, orientations and C*-products, referenced as [AS] in the sequel, gives an account of the necessary prerequisites on C*-algebras and von Neumann algebras, as well as a discussion of the key notion of orientations of state spaces. For the convenience of the reader, we have summarized these prerequisites in an appendix which contains all relevant definitions and results (listed as (AI), (A2), ... ), with reference back to [AS] for proofs, so that this book is self-contained.
Author: Peter Harmand
Publisher: Springer
ISBN: 3540477535
Category : Mathematics
Languages : en
Pages : 390
Get Book
Book Description
This book provides a comprehensive exposition of M-ideal theory, a branch ofgeometric functional analysis which deals with certain subspaces of Banach spaces arising naturally in many contexts. Starting from the basic definitions the authors discuss a number of examples of M-ideals (e.g. the closed two-sided ideals of C*-algebras) and develop their general theory. Besides, applications to problems from a variety of areas including approximation theory, harmonic analysis, C*-algebra theory and Banach space geometry are presented. The book is mainly intended as a reference volume for researchers working in one of these fields, but it also addresses students at the graduate or postgraduate level. Each of its six chapters is accompanied by a Notes-and-Remarks section which explores further ramifications of the subject and gives detailed references to the literature. An extensive bibliography is included.
Author: H. Upmeier
Publisher: Elsevier
ISBN: 9780080872155
Category : Mathematics
Languages : en
Pages : 442
Get Book
Book Description
This book links two of the most active research areas in present day mathematics, namely Infinite Dimensional Holomorphy (on Banach spaces) and the theory of Operator Algebras (C*-Algebras and their non-associative generalizations, the Jordan C*-Algebras). It organizes in a systematic way a wealth of recent results which are so far only accessible in research journals and contains additional original contributions. Using Banach Lie groups and Banach Lie algebras, a theory of transformation groups on infinite dimensional manifolds is presented which covers many important examples such as Grassmann manifolds and the unit balls of operator algebras. The theory also has potential importance for mathematical physics by providing foundations for the construction of infinite dimensional curved phase spaces in quantum field theory.
Author: Charles A. Akemann
Publisher: American Mathematical Soc.
ISBN: 0821823272
Category : Mathematics
Languages : en
Pages : 137
Get Book
Book Description
This monograph investigates [italic]C*-algebras.
Author: Reese T. Prosser
Publisher: American Mathematical Soc.
ISBN: 0821812459
Category : Algebra
Languages : en
Pages : 32
Get Book
Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 400
Get Book
Book Description
Author: Universitetet i Oslo. Matematisk institutt
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 578
Get Book
Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 192
Get Book
Book Description
Author: Erik M. Alfsen
Publisher: Springer Science & Business Media
ISBN: 1461201470
Category : Mathematics
Languages : en
Pages : 362
Get Book
Book Description
The topic of this book is the theory of state spaces of operator algebras and their geometry. The states are of interest because they determine representations of the algebra, and its algebraic structure is in an intriguing and fascinating fashion encoded in the geometry of the state space. From the beginning the theory of operator algebras was motivated by applications to physics, but recently it has found unexpected new applica tions to various fields of pure mathematics, like foliations and knot theory, and (in the Jordan algebra case) also to Banach manifolds and infinite di mensional holomorphy. This makes it a relevant field of study for readers with diverse backgrounds and interests. Therefore this book is not intended solely for specialists in operator algebras, but also for graduate students and mathematicians in other fields who want to learn the subject. We assume that the reader starts out with only the basic knowledge taught in standard graduate courses in real and complex variables, measure theory and functional analysis. We have given complete proofs of basic results on operator algebras, so that no previous knowledge in this field is needed. For discussion of some topics, more advanced prerequisites are needed. Here we have included all necessary definitions and statements of results, but in some cases proofs are referred to standard texts. In those cases we have tried to give references to material that can be read and understood easily in the context of our book.
