Tingley's problem through the facial structure of an atomic JBW*-triple
Functional Analysis
2017-01-19 v1 Operator Algebras
Abstract
We prove that every surjective isometry between the unit spheres of two atomic JBW-triples and admits a unit extension to a surjective real linear isometry from into . This result constitutes a new positive answer to Tignley's problem in the Jordan setting.
Keywords
Cite
@article{arxiv.1701.05112,
title = {Tingley's problem through the facial structure of an atomic JBW*-triple},
author = {Francisco J. Fernández-Polo and Antonio M. Peralta},
journal= {arXiv preprint arXiv:1701.05112},
year = {2017}
}