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Topological centers of certain dual algebras
Authors:Anthony To-Ming Lau  Ali Ü  lger
Institution:Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada T6G 2G1 ; Department of Mathematics, Bo\={g}azici University, 80815 Bebek-Istanbul, Turkey
Abstract:Let $A$ be a Banach algebra with a bounded approximate identity. Let $Z_1$ and $\widetilde Z_2$ be, respectively, the topological centers of the algebras $A^{**}$ and $(A^*A)^*$. In this paper, for weakly sequentially complete Banach algebras, in particular for the group and Fourier algebras $L^1(G)$ and $A(G)$, we study the sets $Z_1$, $\widetilde Z_2$, the relations between them and with several other subspaces of $A^{**}$ or $A^*$.

Keywords:Topological center  multiplier algebra  group algebra and Fourier algebra
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