A Holomorphic Characterization of Operator Algebras

Matthew Neal; Bernard Russo

doi:10.7146/math.scand.a-19224

A Holomorphic Characterization of Operator Algebras

Authors

Matthew Neal
Bernard Russo

DOI:

https://doi.org/10.7146/math.scand.a-19224

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.

Downloads

Published

2014-12-03

How to Cite

Neal, M., & Russo, B. (2014). A Holomorphic Characterization of Operator Algebras. MATHEMATICA SCANDINAVICA, 115(2), 229–268. https://doi.org/10.7146/math.scand.a-19224