Antonio M. Peralta

activity

20142022

most citedOn the extension of isometries between the unit spheres of a C*-algebra and B(H)

7 citations · 10 across the 14 of their papers we have counts for

collaborators

12 papers

math.FA2022

Preservers of triple transition pseudo-probabilities in connection with orthogonality preservers and surjective isometries

Antonio M. Peralta

We prove that every bijection preserving triple transition pseudo-probabilities between the sets of minimal tripotents of two atomic JBW $^{*}$ -triples automatically preserves orthogo…

math.FA2017★ 1 cited

Tingley's problem through the facial structure of an atomic JBW*-triple

Francisco J. Fernández-Polo, Antonio M. Peralta

We prove that every surjective isometry between the unit spheres of two atomic JBW $^{*}$ -triples $E$ and $B$ admits a unit extension to a surjective real linear isometry from $E$ int…

math.FA2017★ 7 cited

On the extension of isometries between the unit spheres of a C*-algebra and B(H)

Francisco J. Fernández-Polo, Antonio M. Peralta

Given two complex Hilbert spaces $H$ and $K$ , let $S (B (H))$ and $S (B (K))$ denote the unit spheres of the C $^{*}$ -algebras $B (H)$ and $B (K)$ of all bounded linear operators on $H$ and…

math.OA2016

Linear maps between C-algebras that are -homomorphisms at a fixed point

María J. Burgos, J. Cabello-Sánchez, Antonio M. Peralta

Let $A$ and $B$ be C $^{*}$ -algebras. A linear map $T : A \to B$ is said to be a $^{*}$ -homomorphism at an element $z \in A$ if $a b^{*} = z$ in $A$ implies $T (a b^{*}) = T (a) T (b)^{*} = T (z)$ , an…

math.OA2016

Inner derivations and weak-2-local derivations on the C $^{*}$ -algebra $C_{0} (L, A)$

E. Jordá, A. M. Peralta

Let $L$ be a locally compact Hausdorff space. Suppose $A$ is a C $^{*}$ -algebra with the property that every weak-2-local derivation on $A$ is a {\rm(}linear{\rm)} derivation. We prov…

math.OA2014

Bilocal *-automorphisms of B(H) satisfying the 3-local property

Ahlem Ben Ali Essaleh, Mohsen Niazi, Antonio M. Peralta

We prove that, for a complex Hilbert space $H$ with dimension bigger or equal than three, every linear mapping $T : B (H) \to B (H)$ satisfying the 3-local property is a $^{*}$ -monomorph…