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 2020Show all

7 papers · 1 filter

math.OA2020

Surjective isometries between sets of invertible elements in unital Jordan-Banach algebras

Antonio M. Peralta

Let $M$ and $N$ be unital Jordan-Banach algebras, and let $M^{- 1}$ and $N^{- 1}$ denote the sets of invertible elements in $M$ and $N$ , respectively. Suppose that $\mathfrak{M}\subs…

math.OA2020

One-parameter groups of orthogonality preservers on JB $^{*}$ -algebras

Jorge J. Garcés, Antonio M. Peralta

In a first objective we improve our understanding about surjective and bijective bounded linear operators preserving orthogonality from a JB $^{*}$ -algebra $A$ into a JB $^{*}$ …

math.OA2020

A linear preserver problem on maps which are triple derivable at orthogonal pairs

Ahlem Ben Ali Essaleh, Antonio M. Peralta

A linear mapping $T$ on a JB $^{*}$ -triple is called triple derivable at orthogonal pairs if for every $a, b, c \in E$ with $a ⊥ b$ we have $$0 = \{T(a), b,c\} + \{a,T(b),c\}+\{a,b,T(…

math.FA2020

On the extension of surjective isometries whose domain is the unit sphere of a space of compact operators

Antonio M. Peralta

We prove that every surjective isometry from the unit sphere of the space $K (H),$ of all compact operators on an arbitrary complex Hilbert space $H$ , onto the unit sphere of an arb…

math.OA2020

Can one identify two unital JB $^{*}$ -algebras by the metric spaces determined by their sets of unitaries?

María Cueto-Avellaneda, Antonio M. Peralta

Let $M$ and $N$ be two unital JB $^{*}$ -algebras and let $U (M)$ and $U (N)$ denote the sets of all unitaries in $M$ and $N$ , respectively. We prove that the follo…

math.OA2020

One-parameter groups of orthogonality preservers on C $^{*}$ -algebras

Jorge J. Garcés, Antonio M. Peralta

We establish a more precise description of those surjective or bijective continuous linear operators preserving orthogonality between C $^{*}$ -algebras. The new description is applied…

Surjective isometries between sets of invertible elements in unital Jordan-Banach algebras

One-parameter groups of orthogonality preservers on JB∗-algebras

A linear preserver problem on maps which are triple derivable at orthogonal pairs

On the extension of surjective isometries whose domain is the unit sphere of a space of compact operators

Can one identify two unital JB∗-algebras by the metric spaces determined by their sets of unitaries?

One-parameter groups of orthogonality preservers on C∗-algebras

One-parameter groups of orthogonality preservers on JB $^{*}$ -algebras

Can one identify two unital JB $^{*}$ -algebras by the metric spaces determined by their sets of unitaries?

One-parameter groups of orthogonality preservers on C $^{*}$ -algebras