Maps completely preserving the quadratic operators
Functional Analysis
2020-12-07 v1 Operator Algebras
Abstract
Let and be standard operator algebras on Banach spaces and , respectively. In this paper, we show that every bijection completely preserving quadratic operators from onto is either an isomorphism or (in the complex case) a conjugate isomorphism.
Cite
@article{arxiv.2012.02528,
title = {Maps completely preserving the quadratic operators},
author = {Roja Hosseinzadeh},
journal= {arXiv preprint arXiv:2012.02528},
year = {2020}
}