Simple question. Can one write every second rank tensor $T^{ab}$ as some finite sum $\sum U^aV^b$ with $U^a$, $V^b$ tensors? Apologies if this is an incredibly standard result - I don't own a textbook on tensors! If this indeed is true, then presumably it generalises to tensors of all ranks?
Relationship between Tensors of Different Rank
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0@anon: That seems to prove what I was a$f$ter - thanks! – 2012-05-22