Matrix convexity: Operator analogues of the bipolar and Hahn-Banach theorems

被引：102

作者：

Effros, EG

Winkler, S

机构：

[1] Mathematics Department, University of California, Los Angeles

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1997年 / 144卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1006/jfan.1996.2958

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Several basic results of convexity theory are generalized to the ''quantized'' matrix convex sets of Wittstock. These include the Bipolar theorem, a gauge version of the Hahn-Banach theorem, and the existence theorem for support functionals. (C) 1997 Academic Press.

引用

页码：117 / 152

页数：36

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