# Category:Normed Vector Spaces

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

Let $\struct {K, +, \circ}$ be a normed division ring.

Let $V$ be a vector space over $K$.

Let $\norm {\,\cdot\,}$ be a norm on $V$.

Then $\struct {V, \norm {\,\cdot\,} }$ is a normed vector space.

## Subcategories

This category has the following 6 subcategories, out of 6 total.