This monograph presents a complete and self-contained solution to the long-standing problem of giving a geometric description of state spaces of C*-algebras and von Neumann algebras, and of their Jordan algebraic analogs (JB-algebras and JBW-algebras). The material, which previously has appeared only in research papers and required substantial prerequisites for a reader's understanding, is made accessible here to a broad mathematical audience. Geometry of State Spaces of Operator Algebras is intended for specialists in operator algebras, as well as graduate students and mathematicians in other areas.

Review

From the reviews:

"The two books together provide a predominantly self-contained presentation of the geometric theory of operator algebra state spaces, culminating in the classification theorem of Alfsen, Hanche–Olsen and Shultz. Until now much of this material has been accessible only in the original papers, which makes the two volumes a welcome addition to the literature. . . . The result is a clear and comprehensive account. . . . the book describes a beautiful solution to a problem dating back to the foundations of the subject."

―MATHEMATICAL REVIEWS

"Notable results...are presented in this book in a unified way, with complete and enlightening proofs and comments. The authors have done fine work for the mathematical community, providing a valuable toolkit for researchers interested in non-associative structures, self-adjoint operator algebras, or areas of functional analysis or mathematical physics where aspects related to convexity and ordered spaces appear...."

―ZENTRALBLATT MATH

"The aim of the present book is to give a complete geometric description of the state spaces of operator algebras, meaning to give axiomatic characterizations of those convex sets that are state spaces ... . The book is divided into three parts. ... It is aimed to specialists in operator algebras, graduate students and mathematicians working in other areas (mathematical physics, foundation of quantum mechanics).” (S. Cobzas, Mathematica, Vol. 46 (2), 2004)

"The authors of this monograph present a complete and self-contained solution to the long-standing problem of giving a geometric description of state spaces ... . There also are an Appendix, a Bibliography containing 137 references, and an Index. The material, which previously has appeared only in research papers ... is made accessible here to a broad mathematical audience. ... The book under review is intended for specialists in operator algebras, as well as graduate students and mathematicians in other areas.” (Radu Iordanescu, Revue Roumaine de Math�matiques Pures et Appliqu�es, Vol. XLIX (3), 2004)

"About this title" may belong to another edition of this title.

Store Description

The Saint Bookstore has a range of over 1 million titles available.

Visit Seller's Storefront

Seller's business information

SB ONLINE LTD
50 Devonshire Road, Southport, PR9 7BZ, United Kingdom

Sale & Shipping Terms

Terms of Sale

Please order through the Abebooks checkout. We only take orders through Abebooks - We don't take direct orders by email or phone.

Refunds or Returns: A full refund of the purchase price will be given if returned within 30 days in undamaged condition.

As a seller on abebooks we adhere to the terms explained at http://www.abebooks.co.uk/docs/HelpCentral/buyerIndex.shtml - if you require further assistance please email us at orders@thesaintbookstore.co.uk

Shipping Terms

Most orders usually ship within 1-3 business days, but some can take up to 7 days.

Shipping rates from United Kingdom to U.S.A.

Shipping rates from United Kingdom to U.S.A.
Order quantity	7 to 28 business days	7 to 28 business days
First item	US$ 18.82	US$ 18.82

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.