Some of the things I've learned every day since Oct 10, 2016
23: Dual Spaces
November 2, 2016Posted by on
A linear functional is a mapping from a vector space to its field .
, the dual space of , is the vector space of all such linear functionals, with addition of functionals and multiplication by scalars from being defined in the expected manner.
If is finite-dimensional, then and is isomorphic to , but this is not the case when is infinite-dimensional.