Some spectral properties of multipliers on commutative Banach algebras

Mustafayev H. , BASHIROV N.

BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, vol.10, no.4, pp.517-527, 2017 (Journal Indexed in ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 4
  • Publication Date: 2017
  • Doi Number: 10.1007/s40574-016-0082-0
  • Title of Journal : BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA
  • Page Numbers: pp.517-527

Abstract

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.