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

 

A characterization of subspaces $ X$ of $ l\sb p$ for which $ K(X)$ is an $ M$-ideal in $ L(X)$


Authors: Chong-Man Cho and William B. Johnson
Journal: Proc. Amer. Math. Soc. 93 (1985), 466-470
MSC: Primary 46B20; Secondary 41A50, 46B25, 47D15
MathSciNet review: 774004
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Abstract: Given a subspace $ X$ of $ {l_p}$, $ 1 < p < \infty $, the compact operators on $ X$ are an $ M$-ideal in the bounded linear operators on $ X$ if and only if $ X$ has the compact approximation property.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1985-0774004-5
PII: S 0002-9939(1985)0774004-5
Keywords: Compact approximation property, compact operator, $ M$-ideal, finite-dimensional decomposition
Article copyright: © Copyright 1985 American Mathematical Society