# Normed algebra

Jump to navigation
Jump to search

In mathematics, a **normed algebra** *A* refers to an algebra over a field which has a sub-multiplicative norm:

Optionally, it is sometimes required to have a multiplicative identity 1_{A} such as ║1_{A}║ = 1.

## See also

- Banach algebra
- Composition algebra
- Division algebra
- Gelfand–Mazur theorem
- Hurwitz's theorem (composition algebras)

## External Reading