International Journal of Mathematics and Mathematical Sciences
Volume 10 (1987), Issue 3, Pages 513-517
doi:10.1155/S0161171287000607
On M-ideals in B(∑i=1∞⊗pℓrni)
Department of Mathematics, College of Natural Science, Hangyang University, Seoul 133, South Korea
Received 8 May 1986
Copyright © 1987 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
For 1<p, r<∞, X=(∑i=1∞⊗pℓrni), {ni} bounded, the space K(X) of all compact operators on X is the only nontrivial M-ideal in the space B(X) of all bounded linear operators on X.