Jordan derivations on certain Banach algebras
Functional Analysis
2023-06-23 v1
Abstract
In this paper, we study the types of Jordan derivations of a Banach algebra with a right identity . We show that if is commutative and semisimple, then every Jordan derivation of is a derivation. In this case, Jordan derivations map into the radical of . We also prove that every Jordan triple left (right) derivation of is a Jordan left (right) derivation. Finally, we investigate the range of Jordan left derivations and establish that every Jordan left derivation of maps into .
Keywords
Cite
@article{arxiv.2306.12529,
title = {Jordan derivations on certain Banach algebras},
author = {M. J. Mehdipour and GH. R. Moghimi and N. Salkhordeh},
journal= {arXiv preprint arXiv:2306.12529},
year = {2023}
}