Antonio M. Peralta

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20242026

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Showing 2025 · math.OAShow all

4 papers · 2 filters

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.OA2025

Uniqueness of Hahn--Banach extensions and inner ideals in real C $^{}$ -algebras and real JB $^{}$ -triples

Lei Li, Antonio M. Peralta, Shanshan Su +1

We show that every closed (resp., weak $^{*}$ -closed) inner ideal $I$ of a real JB $^{*}$ -triple (resp. a real JBW $^{*}$ -triple) $E$ is Hahn--Banach smooth (resp., weak $^{*}$ -Hahn--Banach sm…

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.OA2025

Identifying JBW $^{*}$ -algebras through their spheres of positive elements

Antonio M. Peralta, Pedro Saavedra

Let $A$ and $B$ be JBW $^{*}$ -algebras with projection lattices $P (A)$ and $P (B)$ , and let $Θ: \mathcal{P} (\mathfrak…

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

Uniqueness of Hahn--Banach extensions and inner ideals in real C∗-algebras and real JB∗-triples

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

Identifying JBW∗-algebras through their spheres of positive elements

Uniqueness of Hahn--Banach extensions and inner ideals in real C $^{}$ -algebras and real JB $^{}$ -triples

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

Identifying JBW $^{*}$ -algebras through their spheres of positive elements