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
• DOI: 10.4067/S0716-09172007000300004
• 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).

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