Thank you, thank you very much,your answer is clear and complete, and I really neededm your feedback about differences between subspace and subset was crucial that I could understand ,thank you a lot
thank you I believe that I understood, V* and V are isomorphic, so they have same dimension,and a funcional linear is an function of V,so the space V* is a sub set of V,is that right?
v* is a corresponding dual space consisting of all linear functionals on V, the world corresponding is what makes me confused, i can t understand id V and V* are different vector spaces