Category:Reflexive Spaces
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This category contains results about reflexive spaces.
Definitions specific to this category can be found in Definitions/Reflexive Spaces.
Let $\struct {X, \norm \cdot_X}$ be a normed vector space.
Let $\struct {X^{\ast \ast}, \norm \cdot_{X^{\ast \ast} } }$ be the second normed dual of $\struct {X, \norm \cdot_X}$.
Let $J : X \to X^{\ast \ast}$ be the evaluation linear transformation.
We say that $X$ is reflexive if and only if:
- $J$ is an isometric isomorphism.
Pages in category "Reflexive Spaces"
The following 7 pages are in this category, out of 7 total.