Nonlinear Maps Mixed Jordan Triple *-Derivations on Factor Von Neumann Algebras

Document Type : Original Article

Authors

Ali Taghavi

Leila Abedini

Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

10.22067/kjm.2025.454554.3194

Abstract

Let A be a factor von Neumann algebra with dim A ≥ 2. In this paper, it is proved that a map Φ : A → A (not necessarily linear) satisfies Φ(A♦B♢C) = Φ(A)♦B♢C + A♦Φ(B)♢C + A♦B♢Φ(C) for all A,B,C ∈ A if and only if Φ is an additive ∗-derivation.

Keywords

Mixed Jordan triple ∗-derivations

∗-derivations

factor von Neumann algebra

Subjects

• 15 Linear and multilinear algebra; matrix theory

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