@article {
author = {Hosseinzadeh, Roja},
title = {Maps Completely Preserving the Quadratic Operators},
journal = {Sahand Communications in Mathematical Analysis},
volume = {20},
number = {2},
pages = {123-132},
year = {2023},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2022.522940.901},
abstract = {Let $\mathcal{A}$ and $\mathcal{B}$ be standard operator algebras on Banach spaces $\mathcal{X}$ and $\mathcal{Y}$, respectively. Let $\phi: \mathcal{A} \rightarrow \mathcal{B}$ be a bijective map. In this paper, we show that $\phi$ is completely preserving quadratic operator in both directions if and only if $\phi$ is 2-quadratic preserving operator in both directions and if and only if $\phi$ is either an isomorphism or (in the complex case) a conjugate isomorphism.},
keywords = {Preserving problem,Completely preserving problem,Quadratic operator,Operator algebra},
url = {https://scma.maragheh.ac.ir/article_701631.html},
eprint = {https://scma.maragheh.ac.ir/article_701631_79f8d40ea60b10f296d7bf29833a17b5.pdf}
}