Category:Normed Dual Spaces

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This category contains results about Normed Dual Spaces.
Definitions specific to this category can be found in Definitions/Normed Dual Spaces.

Let $\struct {X, \norm \cdot_X}$ be a normed vector space.

Let $X^\ast$ be the vector space of bounded linear functionals on $X$.

Let $\norm \cdot_{X^\ast}$ be the norm on bounded linear functionals.


We say that $\struct {X^\ast, \norm \cdot_{X^\ast} }$ is the normed dual space of $X$.