Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2001; 38(1): 65-69

Printed March 1, 2001

Copyright © The Korean Mathematical Society.

Proximinality of certain spaces of compact operators

Chong-Man Cho and Woo Suk Roh

Hanyang University, Hanyang University

Abstract

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For any closed subspace $X$ of $\ell_p$, $1 proximinal in $L(X)$, and if $X$ is a
Banach space with an unconditional shrinking basis,
then $K(X, c_0)$ is proximinal in $L(X, \ell_{\infty})$.

Keywords: compact operator, proximinal, basis, M-ideal

MSC numbers: 41A50, 46B20

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