Bull. Korean Math. Soc. 1998; 35(4): 683-687
Printed December 1, 1998
Copyright © The Korean Mathematical Society.
Chong-Man Cho and Beom Sool Kim
Hanyang University, Hanyang University
Suppose $X$ is a closed subspace of $\sumX$, $\dim X_n$ $ < \infty$, which has the metric compact approximation property. It is proved that if $Y$ is a Banach space of cotype $q$ for some $2 \leq q < \infty$ then $K(X,Y)$ is an $M$-ideal in $L(X,Y)$.
Keywords: compact operator, M-ideal, cotype $q$, the metric compact approximation
MSC numbers: 46A32, 41A50
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