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arXiv · 1003.3377

The Topological Centers Of Module Actions

Kazem Haghnejad Azar·Abdolhamid Riazi
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Abstract

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 $\ddot{U}lger$ into $n-th$ dual of Banach $A-modules$. 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 dual groups.

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Kazem Haghnejad Azar, Abdolhamid Riazi. 2010-03-17. The Topological Centers Of Module Actions. https://arxiv.org/abs/1003.3377

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