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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Bounded approximate identities in the algebra of compact operators on a Banach space


Author: Christian Samuel
Journal: Proc. Amer. Math. Soc. 117 (1993), 1093-1096
MSC: Primary 47D30; Secondary 46L99, 47B07, 47D50
MathSciNet review: 1118087
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Abstract: We characterize Banach spaces $ X$ for which the algebra of compact operators $ \mathcal{K}(X)$ admits approximate bounded right identities.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1118087-6
PII: S 0002-9939(1993)1118087-6
Keywords: Bounded compact approximation property, approximate identity, compact operators
Article copyright: © Copyright 1993 American Mathematical Society