Some spectral properties of multipliers on commutative Banach algebras

Mustafayev H. , BASHIROV N.

BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, cilt.10, sa.4, ss.517-527, 2017 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Konu: 4
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s40574-016-0082-0
  • Dergi Adı: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA
  • Sayfa Sayıları: ss.517-527

Özet

In this paper, some results concerning spectral properties of multipliers on commutative semisimple Banach algebras are obtained. The study concentrates on multipliers on uniformly regular Banach algebras whose Helgason-Wang representation vanish at infinity. A spectral mapping theorem for convolution operators induced by representations of locally compact abelian groups is also given.