G. M. Escolano

activity

20232026

collaborators

6 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

The Quasi-linearity problem for Jordan-Banach algebras: a topological characterization

Gerardo M. Escolano

Let $J$ be a JB $^{*}$ -algebra with no quotients isomorphic to $S_{2} (C)$ . Let $μ$ be a local quasi-linear Jordan functional on $J_{s a}$ . We show that $μ$ …

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.FA2023

Lie--Trotter formulae in Jordan--Banach algebras with applications to the study of spectral-valued multiplicative functionals

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

We establish some Lie--Trotter formulae for unital complex Jordan--Banach algebras, showing that for each couple of elements $a, b$ in a unital complex Jordan--Banach algebra $\math…

Commutativity preserving mappings in Banach algebras

The Quasi-linearity problem for Jordan-Banach algebras: a topological characterization

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

Lie--Trotter formulae in Jordan--Banach algebras with applications to the study of spectral-valued multiplicative functionals

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