A. Peralta

activity

20122024

most citedA solution to Tingley's problem for isometries between the unit spheres of compact C

^{*}

-algebras and JB

^{*}

-triples

43 citations · 298 across the 79 of their papers we have counts for

collaborators

Showing 2016 · math.OAShow all

7 papers · 2 filters

math.OA2016

Low rank compact operators and Tingley's problem

Francisco J. Fernández'Polo, Antonio M. Peralta

Let $E$ and $B$ be arbitrary weakly compact JB $^{*}$ -triples whose unit spheres are denoted by $S (E)$ and $S (B)$ , respectively. We prove that every surjective isometry $f: S(E) \to S…

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★ 12 cited

Preduals of JBW $^{*}$ -triples are 1-Plichko spaces

Martin Bohata, Jan Hamhalter, Ondrej F. K. Kalenda +2

We prove that the predual, $M_{*}$ , of a JBW $^{*}$ -triple $M$ is a 1-Plichko space (i.e. it admits a countably 1-norming Markushevich basis or, equivalently, it has a commutative 1-pro…

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.OA2016

Stability of derivations under weak-2-local continuous perturbations

Enrique Jordá, Antonio M. Peralta

Let $Ω$ be a compact Hausdorff space and let $A$ be a C $^{*}$ -algebra. We prove that if every weak-2-local derivation on $A$ is a linear derivation and every derivation on $C (Ω, A)$ i…

math.OA2016

Weak-local triple derivations on C-algebras and JB-triples

M. J. Burgos, J. C. Cabello, A. M. Peralta

We prove that every weak-local triple derivation on a JB $^{*}$ -triple $E$ (i.e. a linear map $T : E \to E$ such that for each $ϕ \in E^{*}$ and each $a \in E$ , there exists a triple deriva…

Low rank compact operators and Tingley's problem

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

Preduals of JBW∗-triples are 1-Plichko spaces

Inner derivations and weak-2-local derivations on the C∗-algebra C0​(L,A)

Stability of derivations under weak-2-local continuous perturbations

Weak-local triple derivations on C*-algebras and JB*-triples

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

Preduals of JBW $^{*}$ -triples are 1-Plichko spaces

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

Weak-local triple derivations on C-algebras and JB-triples