## Topological centers of certain dual algebras

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- by Anthony To-Ming Lau and Ali Ülger PDF
- Trans. Amer. Math. Soc.
**348**(1996), 1191-1212 Request permission

## Abstract:

Let $A$ be a Banach algebra with a bounded approximate identity. Let $Z_1$ and $\widetilde Z_2$ be, respectively, the topological centers of the algebras $A^{**}$ and $(A^*A)^*$. In this paper, for weakly sequentially complete Banach algebras, in particular for the group and Fourier algebras $L^1(G)$ and $A(G)$, we study the sets $Z_1$, $\widetilde Z_2$, the relations between them and with several other subspaces of $A^{**}$ or $A^*$.## References

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## Additional Information

**Anthony To-Ming Lau**- Affiliation: Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
- MR Author ID: 110640
- Email: tlau@vega.math.ualberta.ca
**Ali Ülger**- Affiliation: Department of Mathematics, Boḡazici University, 80815 Bebek-Istanbul, Turkey
- Email: ulger@boun.edu.tr
- Received by editor(s): September 4, 1994
- Received by editor(s) in revised form: March 27, 1995
- Additional Notes: The research of the first author is supported by an NSERC grant.

The research of the second author is supported by TUBA - © Copyright 1996 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**348**(1996), 1191-1212 - MSC (1991): Primary 43A20; Secondary 46H05
- DOI: https://doi.org/10.1090/S0002-9947-96-01499-7
- MathSciNet review: 1322952