The strong spectral extension property does not imply the multiplicative Hahn–Banach property

Tom 153 / 2002

A. Sołtysiak Studia Mathematica 153 (2002), 297-301 MSC: Primary 46J05; Secondary 46J20, 46J30, 46A22. DOI: 10.4064/sm153-3-6

Streszczenie

An example is given of a semisimple commutative Banach algebra that has the strong spectral extension property but fails the multiplicative Hahn–Banach property. This answers a question posed by M. J. Meyer in [4].

Autorzy

  • A. SołtysiakFaculty of Mathematics and Computer Science
    Adam Mickiewicz University
    Umultowska 87
    61-614 Poznań, Poland
    e-mail

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