Speaker: Michiya Mori (Univ. Tokyo)

Title: Tingley's problem for operator algebras

Time/Date: 4:45-6:15pm, Monday, January 29, 2018.

Room: 126

Abstract: Tingley's problem asks whether every surjective isometry between the unit spheres of two Banach spaces admits an extension to a real linear surjective isometry between the whole spaces. Tingley's problem between real Banach spaces has been considered for more than 30 years. In recent years, using the facial structure of unit balls, some reserchers solved Tingley's problem between operator algebras affirmatively in several settings. In this talk, I explain the history of this problem and my new results concerning Tingley's problem for operator algebras.