Antonio M. Peralta

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20242026

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7 papers · 1 filter

math.OA2024

Characterization of minimal tripotents via annihilators and its application to the study of additive preservers of truncations

Lei Li, Siyu Liu, Antonio M. Peralta

The contributions in this note begin with a new characterization of (positive) scalar multiples of minimal tripotents in a general JB $^{*}$ -triple $E$ , proving that a non-zero elemen…

math.FA2024

Additive mappings preserving orthogonality between complex inner product spaces

Lei Li, Siyu Liu, Antonio M. Peralta

Let $H$ and $K$ be two complex inner product spaces with dim $(X) \geq 2$ . We prove that for each non-zero additive mapping $A : H \to K$ with dense image the following statements are…

math.OA2024

Preservers of Operator Commutativity

Gerardo M. Escolano, Antonio M. Peralta, Armando R. Villena

Let $M$ and $J$ be JBW $^{*}$ -algebras admitting no central summands of type $I_{1}$ and $I_{2},$ and let $Φ : M \to J$ be a linear bije…

math.OA2024

Maps preserving the truncation of triple products on Cartan factors

Jorge J. Garcés, Lei Li, Antonio M. Peralta +1

Let ${C_{i}}_{i \in Γ_{1}},$ and ${D_{j}}_{j \in Γ_{2}},$ be two families of Cartan factors such that all of them have dimension at least $2$ , and consider the atomic JBW $^{*}$ -triples $A=…

math.OA2024

M-ideals in real operator algebras

David P. Blecher, Matthew Neal, Antonio M. Peralta +1

In a recent paper we showed that a subspace of a real JBW*-triple is an M-summand if and only if it is a weak*-closed triple ideal. As a consequence, M-ideals of real JB*-triples,…

math.OA2024

On the equivalence of all notions of generalized derivations whose domain is a C $^{*}$ -algebra

Amin Hosseini, Antonio M. Peralta, Shanshan Su

Let $M$ be a Banach bimodule over an associative Banach algebra $A$ , and let $F : A \to M$ be a linear mapping. Three main uses of the term \e…

math.OA2024

$M$ -ideals, yet again: the case of real JB $^{*}$ -triples

David P. Blecher, Matthew Neal, Antonio M. Peralta +1

We prove that a subspace of a real JBW $^{*}$ -triple is an $M$ -summand if and only if it is a weak $^{*}$ -closed triple ideal. As a consequence, $M$ -ideals of real JB $^{*}$ -triples corresp…

Characterization of minimal tripotents via annihilators and its application to the study of additive preservers of truncations

Additive mappings preserving orthogonality between complex inner product spaces

Preservers of Operator Commutativity

Maps preserving the truncation of triple products on Cartan factors

M-ideals in real operator algebras

On the equivalence of all notions of generalized derivations whose domain is a C∗-algebra

M-ideals, yet again: the case of real JB∗-triples

On the equivalence of all notions of generalized derivations whose domain is a C $^{*}$ -algebra

$M$ -ideals, yet again: the case of real JB $^{*}$ -triples