Uniform approximation by elementary operators

Details Uniform approximation by elementary operators Uniform approximation by elementary operators

2009-02-02

arxiv.org/abs/0902.0285v1

Mathematics

Operator Algebras

16 pages, accepted to PEMS

Scientific paper

On a separable C*-algebra A every (completely) bounded map, which preserves
closed two sided ideals, can be approximated uniformly by elementary operators
if and only if A is a finite direct sum of C*-algebras of continuous sections
vanishing at infinity of locally trivial C*-bundles of finite type.

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