The Banach algebras generated by representations of abelian semigroups
MONATSHEFTE FUR MATHEMATIK, cilt.165, ss.413-432, 2012 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 165
- Basım Tarihi: 2012
- Doi Numarası: 10.1007/s00605-011-0333-1
- Dergi Adı: MONATSHEFTE FUR MATHEMATIK
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.413-432
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
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.