S. Su

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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…

math.OA2025

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…

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

M-ideals in real operator algebras

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

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

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