A. R. Villena

activity

20192026

collaborators

5 papers

math.RA2026

Commutativity preserving mappings in Banach algebras

M. Brešar, 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

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

Let $M$ and $J$ be JBW $^{*}$ -algebras admitting no central summands of type $I_{1}$ and $I_{2},$ and let $Φ : M \to J$ be a linear bije…

math.OA2019

Orthogonally additive polynomials on non-commutative $L^{p}$ -spaces

J. Alaminos, M. L. C. Godoy, A. R. Villena

Let $M$ be a von Neumann algebra with a normal semifinite faithful trace $τ$ . We prove that every continuous $m$ -homogeneous polynomial $P$ from $L^{p} (M, τ)$ , wit…

Commutativity preserving mappings in Banach algebras

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

The Mackey-Gleason-Bunce-Wright problem for vector-valued measures on projections in a JBW∗-algebra

Preservers of Operator Commutativity

Orthogonally additive polynomials on non-commutative Lp-spaces

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

Orthogonally additive polynomials on non-commutative $L^{p}$ -spaces