*-Lie-Type maps on alternative *-algebras

Abstract

Let $A$ and $A^{\prime }$ be two alternative $\ast$-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.

10 pages. arXiv admin note: substantial text overlap with arXiv:2108.00025

Cited by in corpus (1)

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