We study the topological centers of $nth$ dual of Banach $mathcal{A}$-modules and we extend some propositions from Lau and "{U}lger into $n-th$ dual of Banach $mathcal{A}-modules$ where $ngeq 0$ is even number. Let $mathcal{B}$ be a Banach $mathcal{A}-bimodule$. By using some new conditions, we show that $ Z^ell_{mathcal{A}^{(n)}}(mathcal{B}^{(n)})=mathcal{B}^{(n)}$ and $ Z^ell_{mathcal{B}^{(n)}}(mathcal{A}^{(n)})=mathcal{A}^{(n)}$. We get some conclusions on group algebras.
Haghnejad Azar, K., & Riazi, A. (2012). Topological centers of the n-th dual of module actions. Bulletin of the Iranian Mathematical Society, 38(1), 1-16.
MLA
K. Haghnejad Azar; A. Riazi. "Topological centers of the n-th dual of module actions". Bulletin of the Iranian Mathematical Society, 38, 1, 2012, 1-16.
HARVARD
Haghnejad Azar, K., Riazi, A. (2012). 'Topological centers of the n-th dual of module actions', Bulletin of the Iranian Mathematical Society, 38(1), pp. 1-16.
VANCOUVER
Haghnejad Azar, K., Riazi, A. Topological centers of the n-th dual of module actions. Bulletin of the Iranian Mathematical Society, 2012; 38(1): 1-16.