Left derivable or Jordan left derivable mappings on Banach algebras
Functional Analysis
2015-07-07 v1 Operator Algebras
Abstract
Let d be a linear mapping from a unital Banach algebra A into a unital left A-module M, and w in Z(A) be a left separating point of M. We show that the following three conditions are equivalent: (i) d is a Jordan left derivation; (ii) d is left derivable at w; (iii) d is Jordan left derivable at w. Let A be a Banach algebra with the property (B), and M be a Banach left A-module. We consider the relations between generalized (Jordan) left derivations and (Jordan) left derivable mappings at zero from A into M.
Keywords
Cite
@article{arxiv.1507.01301,
title = {Left derivable or Jordan left derivable mappings on Banach algebras},
author = {Yana Ding and Jiankui Li},
journal= {arXiv preprint arXiv:1507.01301},
year = {2015}
}
Comments
18 pages, 0 figure