On Hahn-Banach type theorems for hilbert C*-modules

被引：7

作者：

Frank, M ^{[1
]}

机构：

[1] Univ Leipzig, Inst Math, D-04109 Leipzig, Germany

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2002年 / 13卷 / 07期

关键词：

Hilbert C*-module; bounded module map; Hahn-Banach theorem; completely bounded module map; operator spaces; operator modules;

D O I：

10.1142/S0129167X02001356

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish three Hahn-Banach type extension criteria for (sets of) bounded C*-linear maps of Hilbert C*-modules to the underlying C*-algebras of coefficients. One criterion gives an alternative description of the property of C*-algebras to be monotone complete or additively complete.

引用

页码：675 / 693

页数：19

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