The dual normed space of a normed linear space 
is the set of
continuous linear
functionals on 
,
also called its conjugate space. When equipped with the norm 
, this space
is a Banach space.
Dual Normed Space
See also
Banach Space, Cotype-Cotype Problem, Dual Vector Space, James Tree Space, PredualThis entry contributed by Mohammad Sal Moslehian
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Cite this as:
Weisstein, Eric W., with contributions by Mohammad Sal Moslehian. "Dual Normed Space." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/DualNormedSpace.html