标题：A note on <mml:math alttext="$M$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>M</mml:mi></mml:math>-ideals in certain algebras of
operators
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2000
卷号：23
DOI：10.1155/S0161171200002246
出版社：Hindawi Publishing Corporation
摘要：Let X=(∑n=1∞ℓ1n)p,   p>1. In this paper, we
investigate M-ideals which are also ideals in L(X), the algebra
of all bounded linear operators on X. We show that K(X), the
ideal of compact operators on X is the only proper closed ideal
in L(X) which is both an ideal and an M-ideal in
L(X).
