The theory of the Fourier algebra lies at the crossroads of several areas of analysis. Its roots
are in locally compact groups and group representations, but it requires a considerable …

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In the first part of the paper, we present a short survey of the theory of multipliers, or double
centralisers, of Banach algebras and completely contractive Banach algebras. Our approach …

Let G be a locally compact group. We shall study the Banach algebras which are the group
algebra L1 (G) and the measure algebra M (G) on G, concentrating on their second dual …

Let A be a Banach algebra with a bounded left approximate identity. We denote,
respectively, by wap (A) and AA∗ the subspaces of A∗ consisting of the weakly almost …

1. Introduction. In [9], Granirer defined the subspace of uniformly continuous functionals on
the Fourier algebra A (G) of a locally compact group G, denoted by UC (G), to be the norm …

As is well known, the second dual of a Banach algebra can itself be made a Banach algebra
in two natural ways (Arens [1]). While much has been written on when these two …

The study ofthe cardinality of the set of invariant means on a group was initiated by Day [3]
and Granirer [8]. In 1976, Chou [1] showed that for a discrete infinite amenable group G the …

In this paper, we look at the question of when various ideals in the Fourier algebra $ A (G) $
or its closures $ A_M (G) $ and $ A_ {cb}(G) $ in, respectively, its multiplier and $ cb …

We study locally compact quantum groups 𝔾 and their module maps through a general
Banach algebra approach. As applications, we obtain various characterizations of …