Tingley's problem through the facial structure of an atomic JBW*-triple

Abstract

We prove that every surjective isometry between the unit spheres of two atomic JBW${}^{\ast }$-triples $E$ and $B$ admits a unit extension to a surjective real linear isometry from $E$ into $B$. This result constitutes a new positive answer to Tignley's problem in the Jordan setting.

References in corpus (1)

• On the extension of isometries between the unit spheres of a C*-algebra and B(H)