Category:Topological Dual Spaces

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

Let $K$ be a topological field.

Let $\struct {X, \tau}$ be a topological vector space over $K$.

Let $\struct {X, \tau}^\ast$ be the vector space of continuous linear functionals on $\struct {X, \tau}$.


We say that $\struct {X, \tau}^\ast$ is the topological dual space of $\struct {X, \tau}$.