Segal algebras, approximate identities and norm irregularity in C₀(X,A)

• Autorzy: Jussi Mattas
• Języki publikacji: EN

Abstrakty

EN

We study three closely related concepts in the context of the Banach algebra C₀(X,A). We show that, to a certain extent, Segal extensions, norm irregularity and the existence of approximate identities in C₀(X,A) can be deduced from the corresponding features of A and vice versa. Extensive use is made of the multiplier norm and the tensor product representation of C₀(X,A).

Kategorie tematyczne

• 46J10: Banach algebras of continuous functions, function algebras
• 46H05: General theory of topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 215
• Numer: 2
• Strony: 99-112

Daty

wydano

2013

Twórcy

autor

Jussi Mattas

• Department of Mathematical Sciences, PO Box 3000, SF 90014, University of Oulu, Finland

Identyfikatory

DOI

10.4064/sm215-2-1