Arens regularity and the second dual of certain quotients of the Fourier algebra

Authors
Graham, CC
Citation
Cc. Graham, Arens regularity and the second dual of certain quotients of the Fourier algebra, Q J MATH, 52, 2001, pp. 13-24
Citations number
25
Categorie Soggetti
Mathematics
Journal title
QUARTERLY JOURNAL OF MATHEMATICS
ISSN journal
00335606 → ACNP
Volume
52
Year of publication
2001
Part
1
Pages
13 - 24
Database
ISI
SICI code
0033-5606(200103)52:<13:ARATSD>2.0.ZU;2-S
Abstract
We show that every metrizable locally compact abellian group contains a clo sed subset E such that the restriction A(E) of the Fourier algebra to E is Arens regular whatever the bounded multiplication it is given, but such tha t neither (A) over tilde (E) nor A(E)** is Arens regular (in their natural multiplications).