How Can the Dual of V in Terms of Z and W Be Expressed?

[WWGD]

Hi, All:

Let V be a finite-dimensional space, which can be decomposed as:

V=Z(+)W . How can we express the dual of V in terms of the duals of

Z, W?

I think this has to see with tensor products, but I'm kind of rusty here.

Any ideas, please?

 

[Vargo]

The dual of the direct sum is the direct sum of the duals.