A Le Page--Kaplansky theorem characterizing commutative JB*-triples
Functional Analysis
2026-04-15 v1 Operator Algebras
Abstract
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 statements are equivalent for any JB-triple : is commutative. There exists satisfying
Cite
@article{arxiv.2604.12924,
title = {A Le Page--Kaplansky theorem characterizing commutative JB*-triples},
author = {Lei Li and Siyu Liu and Antonio M. Peralta},
journal= {arXiv preprint arXiv:2604.12924},
year = {2026}
}