Artículos de revistas
Biduals of tensor products in operator spaces
Dimant, Veronica Isabel; Fernández Unzueta, Maite; Biduals of tensor products in operator spaces; Polish Academy of Sciences. Institute of Mathematics; Studia Mathematica; 230; 2; 12-2015; 165-185
Dimant, Veronica Isabel
Fernández Unzueta, Maite
We study whether the operator space V ∗∗ α ⊗ W∗∗ can be identified with a subspace of the bidual space (V α ⊗ W) ∗∗, for a given operator space tensor norm. We prove that this can be done if α is finitely generated and V and W are locally reflexive. If in addition the dual spaces are locally reflexive and the bidual spaces have the completely bounded approximation property, then the identification is through a complete isomorphism. When α is the projective, Haagerup or injective norm, the hypotheses can be weakened.