# Category:Norm Theory

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This category contains results about **Norm Theory**.

Definitions specific to this category can be found in **Definitions/Norm Theory**.

**Norm theory** is the branch of functional analysis which studies norms.

## Subcategories

This category has the following 12 subcategories, out of 12 total.

### E

### M

- Metrics Induced by Norms (empty)

### N

- Normed Rings (empty)
- Norms on Vector Spaces (empty)

### Q

- Quasinorms (1 P)

### T

- Trivial Norms (2 P)

## Pages in category "Norm Theory"

The following 24 pages are in this category, out of 24 total.

### C

### E

### N

- Norm Equivalence is Equivalence
- Norm is Continuous
- Norm of Ring Negative
- Norm of Unit of Normed Division Algebra
- Norm of Unity of Division Ring
- Norm on Vector Space is Continuous Function
- Normed Vector Space Requires Multiplicative Norm on Division Ring
- Norms on Finite-Dimensional Real Vector Space are Equivalent