The Mazur–Ulam property for abelian $C^*$-algebras

Ruidong Wang, Yuexing Niu Studia Mathematica MSC: Primary 46B03; Secondary 46B04. DOI: 10.4064/sm210709-6-12 Opublikowany online: 18 May 2022

Streszczenie

We prove that every abelian $C^*$-algebra $A$ has the Mazur–Ulam property, that is, every surjective isometry $T:S(A)\rightarrow S(E)$ admits an extension to a surjective real linear isometry from $A$ onto $X$.

Autorzy

  • Ruidong WangA Department of Mathematics
    Tianjin University of Technology
    Tianjin 300384, P.R. China
    e-mail
  • Yuexing NiuA Department of Mathematics
    Tianjin University of Technology
    Tianjin 300384, P.R. China
    e-mail

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