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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, 46B28 show english descriptions Commutators, derivations, elementary operators, etc.
Spaces of operators; tensor products; approximation properties [See also 46A32, 46M05, 47L05, 47L20]
47B47 - Commutators, derivations, elementary operators, etc.
46B28 - Spaces of operators; tensor products; approximation properties [See also 46A32, 46M05, 47L05, 47L20]
 

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