Arens regularity of weakly sequentially complete Banach algebras

Author:
A. Ülger

Journal:
Proc. Amer. Math. Soc. **127** (1999), 3221-3227

MSC (1991):
Primary 46G10, 46H20

DOI:
https://doi.org/10.1090/S0002-9939-99-04894-7

Published electronically:
April 27, 1999

MathSciNet review:
1605953

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we prove the following result: Let be a nonunital Banach algebra with a bounded approximate identity. Then 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:
https://doi.org/10.1090/S0002-9939-99-04894-7

Keywords:
Arens regularity,
homomorphism

Received by editor(s):
July 29, 1997

Received by editor(s) in revised form:
January 22, 1998

Published electronically:
April 27, 1999

Additional Notes:
This work was supported by a fund of the Turkish Academy of Sciences.

Communicated by:
Christopher D. Sogge

Article copyright:
© Copyright 1999
American Mathematical Society