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

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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.

Topics & Keywords

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

Publication Details

Published in: Mathematics

Volume 14, Issue 6, pp. 997-997

DOI: 10.3390/math14060997

Field-Weighted Citation Impact: 113.14

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

Authors

Abstract

Topics & Keywords

Publication Details