A. R. Villena

activity

20242026

collaborators

4 papers

math.RA2026

Commutativity preserving mappings in Banach algebras

M. BreÅ¡ar, G. M. Escolano, A. Peralta +1

Let $A$ and $B$ be unital complex Banach algebras having no quotients isomorphic to $C$ or $M_{2} (C)$ . Assume additionally that $B$ is semisimple. If a surjective a…

math.OA2026

Quadratic & additive mappings on operator commuting elements in JBW*-algebras

Gerardo M. Escolano, Jan Hamhalter, Antonio M. Peralta +1

Let $A$ and $B$ be JBW $^{*}$ -algebras whose sets of unitaries are denoted by $U (A)$ and $U (B)$ , respectively. We show…

math.OA2025

The Mackey-Gleason-Bunce-Wright problem for vector-valued measures on projections in a JBW $^{*}$ -algebra

Gerardo M. Escolano, Antonio M. Peralta, Armando R. Villena

Let $P (J)$ denote the lattice of projections of a JBW $^{*}$ -algebra $J$ , and let $X$ be a Banach space. A bounded finitely additive $X$ -valued measur…

math.OA2024

Preservers of Operator Commutativity