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Segal algebras, approximate identities and norm irregularity in $C_0(X,A)$

Tom 215 / 2013

Jussi Mattas Studia Mathematica 215 (2013), 99-112 MSC: Primary 46J10; Secondary 46H05. DOI: 10.4064/sm215-2-1

Streszczenie

We study three closely related concepts in the context of the Banach algebra $C_0(X,A)$. We show that, to a certain extent, Segal extensions, norm irregularity and the existence of approximate identities in $C_0(X,A)$ 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 $C_0(X,A)$.

Autorzy

  • Jussi MattasDepartment of Mathematical Sciences
    PO Box 3000
    SF 90014, University of Oulu, Finland
    e-mail

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