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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 3, Pages 617-620
doi:10.1155/S0161171292000802

Spaces of compact operators which are M-ideals in L(X,Y)

Chong-Man Cho

Hanyang University, Seoul 133-791, Korea

Abstract

Suppose X and Y are reflexive Banach spaces. If K(X,Y), the space of all compact linear operaters from X to Y is an M-ideal in L(X,Y), the space of all bounded linear operators from X to Y, then the second dual space K(X,Y)** of K(X,Y) is isometrically isomorphic to L(X,Y).