Regularity and amenability of the second dual of weighted group algebras

Rejali, A. ^[2] ; Vishki, H. R. E. ^[1]
1. [1] Ferdowsi University of Mashhad
  
  Ferdowsi University of Mashhad
  
  Irán
2. [2] Isfahan University, Iran.
Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 26, Nº. 3, 2007, págs. 259-267
Idioma: inglés
Enlaces
- Texto completo
Resumen
- For a wide variety of Banach algebras A (containing the group algebras L1(G), M(G) and A(G)) the Arens regularity of A∗∗ is equivalent to that A, and the amenability of A∗∗ is equivalent to the amenability and regularity of A. In this paper, among other things, we show that this variety contains the weighted group algebras L1(G, w) and M(G, w).