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# Strictly Singular and Cosingular Multiplications

Published:2005-12-01
Printed: Dec 2005
• Mikael Lindström
• Eero Saksman
• Hans-Olav Tylli
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## Abstract

Let $L(X)$ be the space of bounded linear operators on the Banach space $X$. We study the strict singularity andcosingularity of the two-sided multiplication operators $S \mapsto ASB$ on $L(X)$, where $A,B \in L(X)$ are fixed bounded operators and $X$ is a classical Banach space. Let \$1
 MSC Classifications: 47B47 - Commutators, derivations, elementary operators, etc. 46B28 - Spaces of operators; tensor products; approximation properties [See also 46A32, 46M05, 47L05, 47L20]