*-Lie-Type maps on alternative *-algebras
Rings and Algebras
2023-08-24 v1 Functional Analysis
Operator Algebras
Abstract
Let and be two alternative -algebras with identities 1_A and 1_A', respectively, and e_1 and e_2 = 1_A - e_1 nontrivial symmetric idempotents in A. In this paper we study the characterization of multiplicative *-Lie-type maps. As application, we get a result on alternative W*-algebras.
Cite
@article{arxiv.2111.02150,
title = {*-Lie-Type maps on alternative *-algebras},
author = {Aline Jaqueline De Oliveira Andrade and Elisabete Barreiro and Bruno Leonardo Macedo Ferreira},
journal= {arXiv preprint arXiv:2111.02150},
year = {2023}
}
Comments
10 pages. arXiv admin note: substantial text overlap with arXiv:2108.00025