Lei Li

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20242026

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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

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=…