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

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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… Click to show full abstract

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 Tingley's problem in the Jordan setting.

Keywords: atomic jbw; problem facial; facial structure; tingley problem

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017

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