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Tingley's problem through the facial structure of an atomic JBW*-triple
Published 18 Jan 2017 in math.FA and math.OA | (1701.05112v1)
Abstract: We prove that every surjective isometry between the unit spheres of two atomic JBW$*$-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.
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