English

A holomorphic characterization of operator algebras

Operator Algebras 2015-12-11 v1

Abstract

A necessary and sufficient condition for an operator space to support a multiplication making it completely isometric and isomorphic to a unital operator algebra is proved. The condition involves only the holomorphic structure of the Banach spaces underlying the operator space.

Keywords

Cite

@article{arxiv.1207.7353,
  title  = {A holomorphic characterization of operator algebras},
  author = {Matthew Neal and Bernard Russo},
  journal= {arXiv preprint arXiv:1207.7353},
  year   = {2015}
}

Comments

29 pages, submitted

R2 v1 2026-06-21T21:44:16.810Z