Siyu Liu

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20242026

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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.FA2026

A Le Page--Kaplansky theorem characterizing commutative JB*-triples

Lei Li, Siyu Liu, Antonio M. Peralta

We prove that a Le Page-type inequality is also valid for metrically characterizing those JB $^{*}$ -triples that are commutative. More precisely, we establish that the following state…