Proximinality of certain spaces of compact operators
Bull. Korean Math. Soc. 2001 Vol. 38, No. 1, 65-69
Chong-Man Cho and Woo Suk Roh
Hanyang University, Hanyang University
Abstract : 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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