@article{Gordji_1, title={Arens regularity of some bilinear maps}, volume={28}, url={https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1381}, DOI={10.4067/S0716-09172009000100002}, abstractNote={Let H be a Hilbert space. we show that the following statements are equivalent: (a) B(H) is finite dimension, (b) every left Banach module action l : B(H)×H → H, is Arens regular (c) every bilinear map f : B(H)*→ B(H) is Arens regular. Indeed we show that a Banach space X is reflexive if and only if every bilinear map f : X* × X → X* is Arens regular.}, number={1}, journal={Proyecciones (Antofagasta, On line)}, author={Gordji, M. Eshaghi}, year={1}, month={1}, pages={21-26} }