International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 3, Pages 617-619
doi:10.1155/S0161171292000802
Spaces of compact operators which are M-ideals in L(X,Y)
Hanyang University, Seoul 133-791, Korea
Received 10 December 1991
Copyright © 1992 Chong-Man Cho. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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).