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

Authors
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).