Operator space projective tensor product: Embedding into second dual and ideal structure

Ranjana Jain, Ajay Kumar

We prove that for operator spaces $V$ and $W$, the operator space $V^{\ast \ast }{\otimes }_h{W}^{\ast \ast }$ can be completely isometrically embedded into $(V{\otimes }_{h}W{)}^{\ast \ast }$, ${\otimes }_h$ being th…