Arens regularity of weakly sequentially complete Banach algebras

Ülger, A.

doi:10.1090/S0002-9939-99-04894-7

Arens regularity of weakly sequentially complete Banach algebras
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Proc. Amer. Math. Soc. 127 (1999), 3221-3227 Request permission

Abstract:

In this paper we prove the following result: Let $A$ be a nonunital Banach algebra with a bounded approximate identity. Then $A$ cannot be both Arens regular and weakly sequentially complete. The paper also contains some applications of this result.

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