Operator algebras with a reduction property
Operator Algebras
2013-11-18 v1
Abstract
In this thesis we explore the the possibility of characterising C* algebras by their (non-isometric) Banach algebra structure alone. We introduce a property of Banach algebras, the Total Reduction Property, and conjecture that a Banach algebra has this property if and only if it is isomorphic to a C* algebra. We establish some partial results in support of this conjecture.
Keywords
Cite
@article{arxiv.1311.3822,
title = {Operator algebras with a reduction property},
author = {James A Gifford},
journal= {arXiv preprint arXiv:1311.3822},
year = {2013}
}