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A survey on Tingley's problem for operator algebras

Published 8 Jan 2018 in math.OA and math.FA | (1801.02473v2)

Abstract: We survey the most recent results on extension of isometries between special subsets of the unit spheres of C$*$-algebras, von Neumann algebras, trace class operators, preduals of von Neumann algebras, and $p$-Schatten-von Neumann spaces, with special interest on Tingley's problem.

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