G. M. Escolano

activity

20232026

collaborators

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4 papers · 1 filter

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