Jordan left $\alpha$-centralizer on certain algebras
Functional Analysis
2024-10-04 v1
Abstract
In this paper, we investigate Jordan left -centralizer on algebras. We show that every Jordan left -centralizer on an algebra with a right identity is a left -centralizer. We also investigate this result for Banach algebras with a bounded approximate identity. Finally, we study Jordan left -centralizer on group algebra .
Keywords
Cite
@article{arxiv.2410.02553,
title = {Jordan left $\alpha$-centralizer on certain algebras},
author = {M. Eisaei and M. J. Mehdipour and Gh. R. Moghimi},
journal= {arXiv preprint arXiv:2410.02553},
year = {2024}
}