×

zbMATH — the first resource for mathematics

Arens regularity of weakly sequentially complete Banach algebras. (English) Zbl 0930.46046
Let \(A\) be a nonunital Banach algebra with a bounded approximate identity. It is proved that \(A\) is Arens regular if and only if it is semisimple and finite-dimensional. The paper also contains application of this result to the study of homomorphisms between Banach algebras.
Reviewer: Ismat Beg (Kuwait)

MSC:
46H10 Ideals and subalgebras
46H20 Structure, classification of topological algebras
PDF BibTeX XML Cite
Full Text: DOI