METRIC CHARACTERIZATIONS OF ISOMETRIES AND OF UNITAL OPERATOR SPACES AND SYSTEMS

被引：18

作者：

Blecher, David P. ^{[1
]}

Neal, Matthew ^{[2
]}

机构：

[1] Univ Houston, Dept Math, Houston, TX 77204 USA

[2] Denison Univ, Dept Math, Granville, OH 43023 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 03期

基金：

美国国家科学基金会;

关键词：

ALGEBRAS;

D O I：

10.1090/S0002-9939-2010-10670-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give some new characterizations of unitaries, isometrics, unital operator spaces, unital function spaces, operator systems, C*-algebras, and related objects. These characterizations only employ the vector space and operator space structure (not mentioning products, involutions, or any kind of function on the space).

引用

页码：985 / 998

页数：14

共 19 条

[1] Geometric characterizations of some classes of operators in C*-algebra and von Neumann algebras [J].