Title: On the Dunford–Pettis property of tensor product spaces
Abstract:We give sufficient conditions on Banach spaces $E$ and $F$ so that their projective tensor product $E\otimes _\pi F$ and the duals of their projective and injective tensor products do not have the Dun...We give sufficient conditions on Banach spaces $E$ and $F$ so that their projective tensor product $E\otimes _\pi F$ and the duals of their projective and injective tensor products do not have the Dunford–Pettis property. We prove that if $E^*$ doesRead More