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arxiv: 1801.02473 · v2 · pith:MSBNZVD4new · submitted 2018-01-08 · 🧮 math.OA · math.FA

A survey on Tingley's problem for operator algebras

classification 🧮 math.OA math.FA
keywords algebrasneumannproblemspecialsurveytingleyclassextension
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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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