Strong arens irregularity of bilinear mappings and reflexivity
Ali Akbar Khadem-Maboudi
Hamid Reza Ebrahimi Vishki
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We provide a sufficient condition for strong (Arens) irregularity of certain bounded bilinear maps, which applies in particular to the adjoint of Banach module actions. We then apply our result to improve several known results concerning to the relation between Arens regularity of certain Banach module actions and reflexivity.