Geodesic
Segal algebras, approximate identities and norm irregularity in $C_0(X,A)$
Jussi Mattas1
1Department of Mathematical Sciences PO Box 3000 SF 90014, University of Oulu, Finland
Studia Mathematica, Tome 215 (2013) no. 2, pp. 99-112
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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 $C_0(X,A)$.
DOI : 10.4064/sm215-2-1
Keywords: study three closely related concepts context banach algebra certain extent segal extensions norm irregularity existence approximate identities deduced corresponding features vice versa extensive made multiplier norm tensor product representation

Jussi Mattas  1

1 Department of Mathematical Sciences PO Box 3000 SF 90014, University of Oulu, Finland 
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Jussi Mattas. Segal algebras, approximate identities
 and norm irregularity in $C_0(X,A)$. Studia Mathematica, Tome 215 (2013) no. 2, pp. 99-112. doi: 10.4064/sm215-2-1

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