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Journal of Operator Theory

Volume 33, Issue 2, Spring 1995  pp. 317-325.

Compactness of dominated operators and the $(\rm CRP)$ in spaces of compact operators

Authors: Giovanni Emmanuele
Author institution:Department of Mathematics, University of Catania, Viale A. Doria 6, 95125 Catania, Italy

Summary: We present results showing that sometimes the $(\rm CRP)$ lifts from two Banach spaces $E^*$, $F$ to the Banach space $K (E, F)$. They essentially depend on the compactness of certain dominated operators.

Keywords: Spaces of compact operators, compact range property.


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