If 
is a normed linear space, then the set of continuous linear functionals on 
is called the dual (or conjugate) space of 
. When equipped with the norm 
, a dual normed space is a Banach
space.
Dual Normed Space
See also
Banach Space, Dual Vector SpaceThis entry contributed by Mohammad Sal Moslehian
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Moslehian, Mohammad Sal. "Dual Normed Space." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/DualNormedSpace.html