Geometry of State Spaces of Operator Algebras

Geometry of State Spaces of Operator Algebras pdf epub mobi txt 電子書 下載2025

出版者:Springer Verlag
作者:Alfsen, Erik M./ Shultz, Frederic W.
出品人:
頁數:480
译者:
出版時間:2002-12
價格:$ 111.87
裝幀:HRD
isbn號碼:9780817643195
叢書系列:
圖書標籤:
  •  
想要找書就要到 小美書屋
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!

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. Key features include: The properties used to describe state spaces are primarily of a geometric nature, but many can also be interpreted in terms of physics. There are numerous remarks discussing these connections * A quick introduction to Jordan algebras is given; no previous knowledge is assumed and all necessary background on the subject is given * A discussion of dynamical correspondences, which tie together Lie and Jordan structures, and relate the observables and the generators of time evolution in physics * The connection with Connes' notions of orientation and homogeneity in cones is explained * Chapters conclude with notes placing the material in historical context * Prerequisites are standard graduate courses in real and complex variables, measure theory, and functional analysis * Excellent bibliography and index In the authors' previous book, "State Spaces of Operator Algebras: Basic Theory, Orientations and C*-products" (ISBN 0-8176-3890-3), the role of orientations was examined and all the prerequisites on C*- algebras and von Neumann algebras, needed for this work, were provided in detail. These requisites, as well as all relevant definitions and results with reference back to State Spaces, are summarized in an appendix, further emphasizing the self-contained nature of this work. "Geometry of State Spaces of Operator Algebras" is intended for specialists in operator algebras, as well as graduate students and

具體描述

讀後感

評分

評分

評分

評分

評分

用戶評價

评分

评分

评分

评分

评分

相關圖書

本站所有內容均為互聯網搜索引擎提供的公開搜索信息,本站不存儲任何數據與內容,任何內容與數據均與本站無關,如有需要請聯繫相關搜索引擎包括但不限於百度google,bing,sogou

© 2025 book.quotespace.org All Rights Reserved. 小美書屋 版权所有