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Compact range property and operators on |
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| Authors: | Narcisse Randrianantoanina |
| Affiliation: | Department of Mathematics and Statistics, Miami University, Oxford, Ohio 45056 |
| Abstract: | We prove that a Banach space |
| Keywords: | $C^*$-algebras vector measures |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |
has the compact range property (CRP) if and only if, for any given 
-algebra 
, every absolutely summing operator from 
into 
is compact. Related results for 
-summing operators (
) are also discussed as well as operators on non-commutative 
-spaces and 
-summing operators.