Nonlinear mixed Jordan triple *-derivations on factors

preprint2022arXivOpen access

Abstract

Let A\mathcal{A} be a factor with dimA≥2\mathcal{A}\geq2. For A,B∈AA, B\in\mathcal{A}, define by [A,B]∗=AB−BA∗[A, B]_{*}=AB-BA^{\ast} and A∙B=AB+BA∗A\bullet B=AB+BA^{\ast} the new products of AA and BB. In this paper, it is proved that a map Φ:A→AΦ: \mathcal {A}\rightarrow \mathcal {A} satisfies Φ([A,B]∗∙C)=[Φ(A),B]∗∙C+[A,Φ(B)]∗∙C+[A,B]∗∙Φ(C)Φ([A, B]_{*}\bullet C)=[Φ(A), B]_{*}\bullet C+[A, Φ(B)]_{*}\bullet C+[A, B]_{*}\bullet Φ(C) for all A,B,C∈AA, B,C\in\mathcal {A} if and only if ΦΦ is an additive ∗−*-derivation.

Explore this paper’s authors, topics and related work.

Building this map preview

BZPEER is loading the nearby papers, people, topics and institutions for this page.

Reviews 0

Write a reviewWrite

No reviews yet.

Discussion 0

Add a commentWrite

No comments yet.