The Banach algebras generated by representations of abelian semigroups


Mustafayev H.

MONATSHEFTE FUR MATHEMATIK, cilt.165, ss.413-432, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 165
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s00605-011-0333-1
  • Dergi Adı: MONATSHEFTE FUR MATHEMATIK
  • Sayfa Sayıları: ss.413-432

Özet

Let S be a suitable subsemigroup of a locally compact abelian group. We consider the class of Banach algebras A for which there exists a continuous homomorphism omega : L (1) (S) -> A with dense range. We study the behavior of the radical in such algebras. As an application, we present some results concerning the structure of weakly compact homomorphisms of semigroup algebras.