Linear Analysis Seminar

Date: February 8, 2019

Time: 4:00PM - 5:00PM

Location: BLOC 220

Speaker: Michiya Mori, University of Tokyo

Title: Isometries between substructures of operator algebras

Abstract: In 1951, Kadison proved that every unital linear surjective isometry between two unital C*-algebras is a Jordan *-isomorphism. In this talk, I will survey some recent results on isometries between operator algebras. We give the general form of surjective isometries between unit spheres of two C*-algebras and between projection lattices of two von Neumann algebras. This is partly a joint work with Narutaka Ozawa.