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The Topological Centers Of Module Actions
In this article, for Banach left and right module actions, we will extend
some propositions from Lau and into general situations and we
establish the relationships between topological centers of module actions. We
also introduce the new concepts as -property and -property for
Banach and we investigate the relations between them and
topological center of module actions. We have some applications in dual groups.Comment: 15 pag
Arens regularity and weak topological center of module actions
Let be a Banach algebra and be the second dual of it. We define
as a weak topological center of with respect to
first Arens product and we will find some relations between this concept and
the topological center of . We also extend this new definition into the
module actions and find relationship between weak topological center of module
actions and reflexivity or Arens regularity of some Banach algebras, and we
investigate some applications of this new definition in the weak amenability of
some Banach algebras
The topological centers and factorization properties of module actions and algebras
For Banach left and right module actions, we extend some propositions from
Lau and into general situations and we establish the
relationships between topological centers of module actions. We also introduce
the new concepts as -property and -property for Banach
and we obtain some conclusions in the topological center of
module actions and Arens regularity of Banach algebras. we also study some
factorization properties of left module actions and we find some relations of
them and topological centers of module actions. For Banach algebra , we
extend the definition of algebra into Banach
with some results in the factorizations of . We have some applications in
group algebras
Arens regularity of module actions and weak amenability of Banach algebras
For Banach left and right module actions, we will establish the relationships
between topological centers of module actions with some result in the weak
amenability of Banach algebras
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