Arens regularity of weakly sequentially complete Banach algebras
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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.References
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Additional Information
- A. Ülger
- Affiliation: Department of Mathematics, Koç University, 80860 Istinye-Istanbul, Turkey
- Email: aulger@ku.edu.tr
- 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
- © Copyright 1999 American Mathematical Society
- 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
- MathSciNet review: 1605953