IUMJ

Title: Compactness and approximation property with respect to an operator space

Authors: Khye Loong Yew

Issue: Volume 56 (2007), Issue 6, 3075-3128

Abstract:

For any operator space $Z$, the notions of $Z$-compactness and $Z$-approximation property are introduced in the category of operator spaces. Several interesting phenomena when $Z$ is the full group $C^*$-algebra of the free group on countably infinitely many generators, compact operators and bounded linear operators on the Hilbert space $\ell_2$ are presented here.