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    The Topological Centers Of Module Actions

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    In this paper, we will study the topological centers of nβˆ’thn-th dual of Banach Aβˆ’moduleA-module and we extend some propositions from Lau and UΒ¨lger\ddot{U}lger into nβˆ’thn-th dual of Banach Aβˆ’modulesA-modules. Let BB be a Banach Aβˆ’bimoduleA-bimodule. By using some new conditions, we show that Zβ„“A(n)(B(n))=B(n){{Z}^\ell}_{A^{(n)}}(B^{(n)})=B^{(n)} and Zβ„“B(n)(A(n))=A(n){{Z}^\ell}_{B^{(n)}}(A^{(n)})=A^{(n)}. We also have some conclusions in dual groups
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