I was given the statement in exam(for which I was supposed to mark it as correct or incorrect):
Every Finite dimensional space is reflexive. (I marked it as incorrect).
My attempt: I learnt the following theorem which says: Every finite dimensional normed space is reflexive. But since there was no use of word "normed", I thought it may happen that the definition of reflexivity may also be applicable to some other spaces where I could find a counterexample and so I marked it as incorrect.
My professor said, it is correct. So my question is : Is there any finite dimensional space which is not reflexive? Please throw some light.