COMPACT OPERATORS ON HILBERT MODULES

被引：5

作者：

Anoussis, M. ^{[1
]}

Todorov, I. G. ^{[1
]}

机构：

[1] Univ Aegean, Dept Math, Karlovassi 83200, Samos, Greece

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 01期

关键词：

Contractive perturbations; compact operators; Hilbert modules;

D O I：

10.1090/S0002-9939-04-07591-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that an adjointable contraction acting on a countably generated Hilbert module over a separable unital C*-algebra is compact if and only if the set of its second contractive perturbations is separable.

引用

页码：257 / 261

页数：5

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