An operator space approach to condition C

We show that there exists a natural embedding from the tensor product V ∗∗ ⊗ W∗∗ of the biduals of operator spaces V and W into the bidual (V ⊗ˇ W)∗∗ of the injective tensor product of V and W, which is separately weak∗ continuous. From this, we define condition C for operator spaces. © 2007 Elsevier Inc. All rights reserved.