Unitary closure and Fourier algebra of a topological group

• Autorzy: Anthony To-Ming Lau , Jean Ludwig
• Języki publikacji: EN

Abstrakty

EN

This is a sequel to our recent work (2012) on the Fourier-Stieltjes algebra B(G) of a topological group G. We introduce the unitary closure G̅ of G and use it to study the Fourier algebra A(G) of G. We also study operator amenability and fixed point property as well as other related geometric properties for A(G).

Kategorie tematyczne

• 43A30: Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc.
• 22A10: Analysis on general topological groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2015
• Tom: 231
• Numer: 1
• Strony: 1-28

Daty

wydano

2015

Twórcy

autor

Anthony To-Ming Lau

• Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton T6G-2G1, Canada

autor

Jean Ludwig

• Institut Élie Cartan de Lorraine, Université de Lorraine-Metz, Bâtiment A, Ile du Saulcy, F-57045 Metz, France

Identyfikatory

DOI

10.4064/sm8138-1-2016