Minus partial order and linear preservers
Functional Analysis
2015-07-30 v1 Operator Algebras
Abstract
In this paper we investigate the properties of minus partial order in unital rings. We generalize several results well known for matrices and bounded linear operators on Banach spaces. We also study linear maps preserving the minus partial order in unital semisimple Banach algebras with essential socle.
Cite
@article{arxiv.1507.08267,
title = {Minus partial order and linear preservers},
author = {Maria Burgos and Antonio Carlos Márquez-García and Antonio Morales-Campoy},
journal= {arXiv preprint arXiv:1507.08267},
year = {2015}
}