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Dual Normed Space


If X is a normed linear space, then the set of continuous linear functionals on X is called the dual (or conjugate) space of X. When equipped with the norm ||f||=sup{|f(x)|:||x||=1}, a dual normed space is a Banach space.


See also

Banach Space, Dual Vector Space

This entry contributed by Mohammad Sal Moslehian

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Cite this as:

Moslehian, Mohammad Sal. "Dual Normed Space." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/DualNormedSpace.html

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