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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)
MathSciNet review: 2155972
MSC: Primary 43A10; Secondary 43A20, 46J10

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Table of Contents


  • 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