Antonio M. Peralta

activity

20242026

collaborators

12 papers

math.FA2026

A Le Page--Kaplansky theorem characterizing commutative JB*-triples

Lei Li, Siyu Liu, Antonio M. Peralta

We prove that a Le Page-type inequality is also valid for metrically characterizing those JB $^{*}$ -triples that are commutative. More precisely, we establish that the following state…

math.OA2026

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 $Î: \mathcal{P} (\mathfra…

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.OA2026

A metric characterization of projections among positive norm-One elements in unital C $^{*}$ -algebras

Antonio M. Peralta, Pedro Saavedra

We characterize projections among positive norm-one elements in unital C $^{*}$ -algebras in pure geometric terms determined by the norm of the underlying Banach space. Concretely, let…

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…

A Le Page--Kaplansky theorem characterizing commutative JB*-triples

Identifying JBW∗-algebras through their spheres of positive elements

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

A metric characterization of projections among positive norm-One elements in unital C∗-algebras

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

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

A metric characterization of projections among positive norm-One elements in unital C $^{*}$ -algebras

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