Compact range property and operators on C*-algebras

被引：2
|
作者：
Randrianantoanina, N [1 ]
机构：
[1] Miami Univ, Dept Math & Stat, Oxford, OH 45056 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 03期
关键词：
C*-algebras; vector measures;
D O I：
10.1090/S0002-9939-00-05719-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that a Banach space E has the compact range property (CRP) if and only if, for any given C*-algebra A, every absolutely summing operator from A into E is compact. Related results for p-summing operators (0 < p<1) are also discussed as well as operators on non-commutative L-1-spaces and C*-summing operators.
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页码：865 / 871
页数：7
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