English

Uniform approximation by elementary operators

Operator Algebras 2009-02-03 v1 Functional Analysis

Abstract

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.

Keywords

Cite

@article{arxiv.0902.0285,
  title  = {Uniform approximation by elementary operators},
  author = {Bojan Magajna},
  journal= {arXiv preprint arXiv:0902.0285},
  year   = {2009}
}

Comments

16 pages, accepted to PEMS

R2 v1 2026-06-21T12:07:04.950Z