Mankiewicz's theorem and the Mazur--Ulam property for C*-algebras

17 Nov 2018 Mori Michiya Ozawa Narutaka

We prove that every unital C*-algebra $A$ has the Mazur--Ulam property. Namely, every surjective isometry from the unit sphere $S_A$ of $A$ onto the unit sphere $S_Y$ of another normed space $Y$ extends to a real linear map... (read more)

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  • FUNCTIONAL ANALYSIS
  • OPERATOR ALGEBRAS