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

2009; Wiley; Volume: 81; Issue: 1 Linguagem: Inglês

10.1112/jlms/jdp068

1469-7750

Eberhard Kaniuth, Anthony Lau, A. Ülger,

Advanced Banach Space Theory

Journal of the London Mathematical SocietyVolume 81, Issue 1 p. 255-275 Articles Multipliers of commutative Banach algebras, power boundedness and Fourier–Stieltjes algebras E. Kaniuth, Corresponding Author E. Kaniuth [email protected] Institut für Mathematik, Universität Paderborn, D-33095 Paderborn, Germany[email protected]Search for more papers by this authorA. T. Lau, A. T. Lau Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada T6G 2G1, [email protected]Search for more papers by this authorA. Ülger, A. Ülger Department of Mathematics, Koc University, 34450 Sariyer, Istanbul, Turkey, [email protected]Search for more papers by this author E. Kaniuth, Corresponding Author E. Kaniuth [email protected] Institut für Mathematik, Universität Paderborn, D-33095 Paderborn, Germany[email protected]Search for more papers by this authorA. T. Lau, A. T. Lau Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada T6G 2G1, [email protected]Search for more papers by this authorA. Ülger, A. Ülger Department of Mathematics, Koc University, 34450 Sariyer, Istanbul, Turkey, [email protected]Search for more papers by this author First published: 21 December 2009 https://doi.org/10.1112/jlms/jdp068Citations: 14 2000 Mathematics Subject Classification 46J05, 46H10 (primary), 43A30, 46J20 (secondary). The first author was supported by the German Research Foundation. The second author was supported by NSERC grant A 7679. The third author was supported by the TUBA and Tubitak Isbap project no. 107T896. AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Abstract 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. Citing Literature Volume81, Issue1February 2010Pages 255-275 RelatedInformation