Affiliation:
1. 1 Semnan University Department of Mathematics Semnan Iran
Abstract
Given a foundation locally compact Hausdorff topological semigroup
S
, we consider on
Ma
(
S
)* the
τc
-topology, i.e. the weak topology under all right multipliers induced by measures in
Ma
(
S
). For such an arbitrary
S
the
τc
-topology is not weaker than the weak*-topology and not stronger than the norm topology on
Ma
(
S
)*. However, a further investigation shows that for compact
S
the norm topology and
τc
-topology coincide on every norm bounded subset of
Ma
(
S
). Among the other results we mention that except for discrete
S
the
τc
-topology is always different from the norm-topology. Finally, we give some results about
τc
-almost periodic functionals.
Reference13 articles.
1. Fourier algebras on topological foundation *-semigroup;Amini M.;Semigroup Forum,2004
2. Module homomorphisms and topological centres associated with weakly sequentially complete Banach algebras;Baker J.;J. Funct. Anal.,1998
3. Berglund, J. F., Junghenn, H. D. and Milnes, P. , Analysis on semigroups, function spaces, compactifications, representations , New York, 1989. MR 91b :43001
4. Convolution operators on semigroup algebras;Ghaffari A.;Southeast Asian Bulletin of Mathematics,2004
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