English

A remark on the similarity and perturbation problems

Operator Algebras 2015-08-26 v2

Abstract

In this note we show that Kadison's similarity problem for C*-algebras is equivalent to a problem in perturbation theory: must close C*-algebras have close commutants?

Keywords

Cite

@article{arxiv.1206.5405,
  title  = {A remark on the similarity and perturbation problems},
  author = {Jan Cameron and Erik Christensen and Allan M. Sinclair and Roger R. Smith and Stuart White and Alan D. Wiggins},
  journal= {arXiv preprint arXiv:1206.5405},
  year   = {2015}
}

Comments

6 Pages, minor typos fixed. C. R. Acad. Sci. Canada, to appear

R2 v1 2026-06-21T21:24:25.344Z