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Arens regularity of weakly sequentially complete Banach algebras

Author(s): A. Ülger
Journal: Proc. Amer. Math. Soc. 127 (1999), 3221-3227.
MSC (1991): Primary 46G10, 46H20
Posted: April 27, 1999
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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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Additional Information:

A. Ülger
Affiliation: Department of Mathematics, Koç University, 80860 Istinye-Istanbul, Turkey
Email: aulger@ku.edu.tr

DOI: 10.1090/S0002-9939-99-04894-7
PII: S 0002-9939(99)04894-7
Keywords: Arens regularity, homomorphism
Received by editor(s): July 29, 1997
Received by editor(s) in revised form: January 22, 1998
Posted: April 27, 1999
Additional Notes: This work was supported by a fund of the Turkish Academy of Sciences.
Communicated by: Christopher D. Sogge
Copyright of article: Copyright 1999, American Mathematical Society

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