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Some remarks on $M$-ideals and strong proximinality
Catherine Finet,Lucas Quarta 대한수학회 2003 대한수학회보 Vol.40 No.3
We prove that every M-ideal is strongly proximinal and that, forany Banach space X, K(X,c_0) is an M-ideal inL(X,ell^infty).
SOME REMARKS ON M-IDEALS AND STRONG PROXIMINALITY
Finet, Chaterine,Quarta, Lucas Korean Mathematical Society 2003 대한수학회보 Vol.40 No.3
We prove that every M-ideal is strongly proximinal and that, for any Banach space X, $K(X,\;c_0)$ is an M-ideal in $L(X,\;\ell^{\infty})$.