Nonlinear Mixed Bi-Skew Jordan-Type Higher Derivations on ∗-Algebras

Mathematics 2026 Open access

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Authors: Yimeng Yue, Liang Kong, Fenhong Li, Fugang Chao
DOI: 10.3390/math14060997
Cited by: 2
References: 25

Abstract

Let A be a unital ∗-algebra containing a nontrivial projection. In this paper, we show that every nonlinear mixed bi-skew Jordan-type higher derivation on A is an additive higher ∗-derivation. Moreover, we apply the above result to prime ∗-algebras, factor von Neumann algebras and standard operator algebras.

Fields of Study & Subjects

Advanced Topics in Algebra Advanced Operator Algebra Research Functional Equations Stability Results

Publication details

Journal / source
Mathematics
Publisher
MDPI AG
Volume
14
Issue
6
Pages
997–997
Publication date
15 March 2026
Language
EN