5 papers
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…
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 of a real JB-triple (resp. a real JBW-triple) is Hahn--Banach smooth (resp., weak-Hahn--Banach sm…
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 and …
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 , proving that a non-zero elemen…
Additive mappings preserving orthogonality between complex inner product spaces
Lei Li, Siyu Liu, Antonio M. Peralta
Let and be two complex inner product spaces with dim. We prove that for each non-zero additive mapping with dense image the following statements are…