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A survey on Tingley’s problem for operator algebras

2018; Birkhäuser; Volume: 84; Issue: 1-2 Linguagem: Inglês

10.14232/actasm-018-255-0

2064-8316

Antonio M. Peralta,

Holomorphic and Operator Theory

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-Schattenvon Neumann spaces, with special interest on Tingley's problem.