Multipliers of commutative Banach algebras, power boundedness and Fourier-Stieltjes algebras

被引：25

作者：

Kaniuth, E. ^{[1
]}

Lau, A. T. ^{[2
]}

Ulger, A. ^{[3
]}

机构：

[1] Univ Paderborn, Inst Math, D-33095 Paderborn, Germany

[2] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

[3] Koc Univ, Dept Math, TR-34450 Istanbul, Turkey

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2010年 / 81卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

LOCALLY COMPACT GROUP; APPROXIMATE IDENTITIES; SPECTRAL-SYNTHESIS; IDEALS; AMENABILITY; A(G); SUBSPACES; OPERATORS;

D O I：

10.1112/jlms/jdp068

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a semisimple and regular commutative Banach algebra with bounded approximate identity. We study multipliers of A, in particular power bounded ones, and the associated ideals of A and A-invariant projections of the dual space of A. Samples of the results are general versions of the classical theorems of Choquet-Deny and of Foguel about measures on locally compact abelian groups. The results are linked to sets of synthesis in the Gelfand spectrum of A, and the main applications are concerned with Fourier and Fourier-Stieltjes algebras of locally compact groups.

引用

页码：255 / 275

页数：21

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