# Category:Second Normed Duals

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This category contains results about **Second Normed Duals**.

Definitions specific to this category can be found in Definitions/Second Normed Duals.

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

Let $\struct {X^\ast, \norm \cdot_{X^\ast} }$ be the normed dual of $\struct {X, \norm \cdot_X}$.

We define the **second normed dual**, written $\struct {X^{\ast \ast}, \norm \cdot_{X^{\ast \ast} } }$ as the normed dual of $\struct {X^\ast, \norm \cdot_{X^\ast} }$.

## Subcategories

This category has the following 2 subcategories, out of 2 total.

### R

- Reflexive Spaces (6 P)