Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A characterization of subspaces $X$ of $l_ p$ for which $K(X)$ is an $M$-ideal in $L(X)$
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by Chong-Man Cho and William B. Johnson
Proc. Amer. Math. Soc. 93 (1985), 466-470
DOI: https://doi.org/10.1090/S0002-9939-1985-0774004-5

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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Bibliographic Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 93 (1985), 466-470
  • MSC: Primary 46B20; Secondary 41A50, 46B25, 47D15
  • DOI: https://doi.org/10.1090/S0002-9939-1985-0774004-5
  • MathSciNet review: 774004