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 $X$.
Subcategories
This category has the following 4 subcategories, out of 4 total.
D
E
S
Pages in category "Normed Dual Spaces"
The following 17 pages are in this category, out of 17 total.
C
N
- Norm in terms of Normed Dual Space
- Normed Dual of Normed Vector Space is Separable iff Closed Unit Ball is Metrizable
- Normed Dual Space is Banach Space
- Normed Dual Space of Infinite-Dimensional Normed Vector Space is Infinite-Dimensional
- Normed Dual Space of Normed Quotient Vector Space is Isometrically Isomorphic to Annihilator
- Normed Dual Space of Separable Normed Vector Space is Weak-* Separable
- Normed Dual Space Separates Points
- Normed Vector Space is Reflexive iff Weak and Weak-* Topologies on Normed Dual coincide