# Category:Norm Theory

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 4 subcategories, out of 4 total.

### E

### N

### T

## Pages in category "Norm Theory"

The following 34 pages are in this category, out of 34 total.

### E

- Equivalence of Definitions of Equivalent Division Ring Norms
- Equivalence of Definitions of Equivalent Division Ring Norms/Cauchy Sequence Equivalent implies Open Unit Ball Equivalent
- Equivalence of Definitions of Equivalent Division Ring Norms/Convergently Equivalent implies Null Sequence Equivalent
- Equivalence of Definitions of Equivalent Division Ring Norms/Norm is Power of Other Norm implies Cauchy Sequence Equivalent
- Equivalence of Definitions of Equivalent Division Ring Norms/Norm is Power of Other Norm implies Topologically Equivalent
- Equivalence of Definitions of Equivalent Division Ring Norms/Null Sequence Equivalent implies Open Unit Ball Equivalent
- Equivalence of Definitions of Equivalent Division Ring Norms/Open Unit Ball Equivalent implies Norm is Power of Other Norm
- Equivalence of Definitions of Equivalent Division Ring Norms/Topologically Equivalent implies Convergently Equivalent

### N

### P

- P-adic Norm and Absolute Value are Not Equivalent
- P-adic Norm and Absolute Value are Not Equivalent/Proof 1
- P-adic Norm and Absolute Value are Not Equivalent/Proof 2
- P-adic Norms are Not Equivalent
- Properties of Norm on Division Ring
- Properties of Norm on Division Ring/Norm of Difference
- Properties of Norm on Division Ring/Norm of Integer
- Properties of Norm on Division Ring/Norm of Inverse
- Properties of Norm on Division Ring/Norm of Negative
- Properties of Norm on Division Ring/Norm of Negative of Unity
- Properties of Norm on Division Ring/Norm of Power Equals Unity
- Properties of Norm on Division Ring/Norm of Quotient
- Properties of Norm on Division Ring/Norm of Unity