Concerning entire functions in $B_{0}$-algebras

• Autorzy: W. Żelazko
• Języki publikacji: EN

Abstrakty

EN

We construct a non-m-convex non-commutative $B_0$-algebra on which all entire functions operate. Our example is also a Q-algebra and a radical algebra. It follows that some results true in the commutative case fail in general.

Kategorie tematyczne

• 46H20: Structure, classification of topological algebras
• 46H30: Functional calculus in topological algebras
• 46H05: General theory of topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1994
• Tom: 110
• Numer: 3
• Strony: 283-290

Daty

wydano

1994

otrzymano

1994-01-27

Twórcy

autor

W. Żelazko

• Institute of Mathematics, Polish Academy of Sciences, P.O. Box 137, 00-950 Warszawa, Poland

Bibliografia

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• [5] W. Żelazko, Metric generalizations of Banach algebras, Rozprawy Mat. (Dissertationes Math.) 47 (1965).
• [6] W. Żelazko, Selected Topics in Topological Algebras, Aarhus University Lecture Notes Ser. 31, 1971.
• [7] W. Żelazko, A non-m-convex algebra on which operate all entire functions, Ann. Polon. Math. 46 (1985), 389-394.
• [8] W. Żelazko, On certain open problems in topological algebras, Rend. Sem. Mat. Fis. Milano 59 (1989) (1992), 49-58.