Topological centers of $n-$th dual of module actions

Details Topological centers of $n-$th dual of module actions Topological centers of $n-$th dual of module actions

2010-12-15

arxiv.org/abs/1012.3348v1

Mathematics

Functional Analysis

Scientific paper

In this paper, we will study the topological centers of $n-th$ dual of Banach $A-module$ and we extend some propositions from Lau and \"{U}lger into $n-th$ dual of Banach $A-modules$ where $n\geq 0$ is even number. Let $B$ be a Banach $A-bimodule$. By using some new conditions, we show that ${{Z}^\ell}_{A^{(n)}}(B^{(n)})=B^{(n)}$ and ${{Z}^\ell}_{B^{(n)}}(A^{(n)})=A^{(n)}$. We also have some conclusions in group algebras.

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