Multiplicatively spectrum-preserving maps on $C^{*}$-algebras
Operator Algebras
2024-04-09 v1 Functional Analysis
Abstract
We study surjective maps between the sets of all self-adjoint elements of unital -algebras which satisfy the multiplicatively spectrum-preserving property. We show that such maps are characterized by Jordan isomorphisms and central symmetries. This is an answer to a problem posed by Moln\'ar.
Keywords
Cite
@article{arxiv.2404.04563,
title = {Multiplicatively spectrum-preserving maps on $C^{*}$-algebras},
author = {Michiya Mori and Shiho Oi},
journal= {arXiv preprint arXiv:2404.04563},
year = {2024}
}
Comments
6 pages