Nonlinear Maps Preserving the Bi-Skew Jordan n-Product on Unital -Algebras^*

Authors:

Open Access

Publisher website

11 November 2026

journal article
research article
Published by MDPI AG in Mathematics

Vol. 14 (22) , 4144
DOI:10.3390/math14224144

Abstract

Let

S

and

T

be two complex unital *-algebras. For any

H_{1}, H_{2}, \dots, H_{n} \in S,

define

g_{1} (H_{1}) = H_{1},

g_{2} (H_{1}, H_{2}) = H_{1} ⋄ H_{2} = H_{1} H_{2}^{*} + H_{2} H_{1}^{*}

and

g_{n} (H_{1}, H_{2}, \dots, H_{n}) = g_{n - 1} (H_{1}, H_{2}, \dots, H_{n - 1}) ⋄ H_{n}

Keywords