Jiankui Li

activity

20242026

collaborators

4 papers

math.RA2026

Certain functional identities on matrix rings

Kaijia Luo, Jiankui Li

Let $D$ be a noncommutative division ring and let $R = M_{m} (D)$ with $m > 1$ . We characterize additive mappings $f,$ $g : R \to R$ satisfying the identity $f(X) = X^{n}g(X^{-…

math.OA2025

New insights into linear maps which are anti-derivable at zero

Jiankui Li, Antonio M. Peralta, Shanshan Su

Let $A$ be a Banach algebra admitting a bounded approximate unit and satisfying property $B$ . Suppose $T : A \to X$ is a continuous linear map, where $X$ is an esse…

math.FA2024

Functional identities involving inverses on Banach algebras

Kaijia Luo, Jiankui Li

The purpose of this paper is to characterize several classes of functional identities involving inverses with related mappings from a unital Banach algebra $A$ over the c…

math.RA2024

Zero product and zero Jordan product determined Munn algebras

Bo Yu, Kaijia Luo, Jiankui Li

Let $M (D, m, n, P)$ be the ring of all $m \times n$ matrices over a division ring $D$ , with the product given by $A ∙ B = A P B$ , where $P$ is a fi…