Some spectral properties of multipliers on commutative Banach algebras

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Mustafayev H., BASHIROV N.

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

• Publication Type: Article / Article
• Volume: 10 Issue: 4
• Publication Date: 2017
• Doi Number: 10.1007/s40574-016-0082-0
• Journal Name: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
• Page Numbers: pp.517-527
• Van Yüzüncü Yıl University Affiliated: Yes

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.