# AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution

# The second duals of Beurling algebras

### About this Title

**H. G. Dales** and **A. T.-M. Lau**

Publication: Memoirs of the American Mathematical Society

Publication Year:
2005; Volume 177, Number 836

ISBNs: 978-0-8218-3774-0 (print); 978-1-4704-0437-6 (online)

DOI: https://doi.org/10.1090/memo/0836

MathSciNet review: 2155972

MSC: Primary 43A10; Secondary 43A20, 46J10

### Table of Contents

**Chapters**

- 1. Introduction
- 2. Definitions and preliminary results
- 3. Repeated limit conditions
- 4. Examples
- 5. Introverted subspaces
- 6. Banach algebras of operators
- 7. Beurling algebras
- 8. The second dual of $l^1(G,\omega )$
- 9. Algebras on discrete, abelian groups
- 10. Beurling algebras on $\mathbb {F}_2$
- 11. Topological centres of duals of introverted subspaces
- 12. The second dual of $L^1(G,\omega )$
- 13. Derivations into second duals
- 14. Open questions