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

• Autorzy: A. Sołtysiak
• Języki publikacji: EN

Abstrakty

EN

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].

Kategorie tematyczne

• 46J20: Ideals, maximal ideals, boundaries
• 46A22: Theorems of Hahn-Banach type; extension and lifting of functionals and operators
• 46J30: Subalgebras
• 46J05: General theory of commutative topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 153
• Numer: 3
• Strony: 297-301

Daty

wydano

2002

Twórcy

autor

A. Sołtysiak

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland

Identyfikatory

DOI

10.4064/sm153-3-6