Lei Li

activity

20242026

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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.FA2025

An algebraic characterization of linearity for additive maps preserving orthogonality

Lei Li, Siyu Liu, Antonio M. Peralta

We study when an additive mapping preserving orthogonality between two complex inner product spaces is automatically complex-linear or conjugate-linear. Concretely, let $H$ and $K$ …

Uniqueness of Hahn--Banach extensions and inner ideals in real C∗-algebras and real JB∗-triples

An algebraic characterization of linearity for additive maps preserving orthogonality

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