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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
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