# Who was the first to use dual space?

Who was the first person who used the dual space? In which paper / book did he or she use the dual space?

Who was the first who called it dual space and in which paper / book?

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See this question for some comments. –  Per Manne Aug 29 '12 at 14:24
Do you mean the "algebraic dual" of all linear functionals or the "topological dual" of just the continuous ones? –  rschwieb Aug 29 '12 at 14:42
@rschwieb: I mean the "algebraic dual". –  moose Aug 29 '12 at 15:29
@moose Hmm, that might go back at least as far as the development of vector analysis... I have no idea! –  rschwieb Aug 29 '12 at 16:12
So ... 19th century physics has "vectors" and "co-vectors". –  GEdgar Sep 28 '12 at 20:03