In viewing a tensor as a multilinear map, it is conventional to identify the double dual "V"∗∗ of the vector space "V", i.e., the space of linear functionals on the dual vector space "V"∗, with the vector space "V". There is always a natural linear map from "V" to its double dual, given by evaluating a linear form in "V"∗ against a vector in "V". This linear mapping is an isomorphism in finite dimensions, and it is often then expedient to identify "V" with its double dual.