Lei Li

activity

20242026

collaborators

Showing math.OAShow all

4 papers · 1 filter

math.OA2026

Numerical index one characterises commutative JB*-triples

Lei Li, Siyu Liu, Antonio M. Peralta

We establish that a JB $^{*}$ -triple $E$ is commutative if and only if its numerical index $n (E)$ is one. As a consequence, $n (E) = 1$ implies $n (E^{*}) = n (E^{**}) = 1$ . This settles a…

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.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.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=…

Numerical index one characterises commutative JB*-triples

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

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

Maps preserving the truncation of triple products on Cartan factors

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