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On page 59, we see the proof that the space of (1,1)-tensors is isomorphic to the endomorphisms on the dual space. The construction in the forwards direction takes a (1,1)-tensor T and maps it to the endomorphism mapping a covector \omega to the covector T(-, \omega). I believe it should be T(\omega, -), since T is a bilinear map V* x V -> K, and the covector \omega lives in V*.
The text was updated successfully, but these errors were encountered:
On page 59, we see the proof that the space of (1,1)-tensors is isomorphic to the endomorphisms on the dual space. The construction in the forwards direction takes a (1,1)-tensor T and maps it to the endomorphism mapping a covector \omega to the covector T(-, \omega). I believe it should be T(\omega, -), since T is a bilinear map V* x V -> K, and the covector \omega lives in V*.
The text was updated successfully, but these errors were encountered: