In mathematics, a normed algebra A is an algebra over a field which has a sub-multiplicative norm:
: <math>\forall x,y\in A\qquad \|xy\|\le\|x\|\|y\|.</math>
Some authors require it to have a multiplicative identity such that ‖‖ = 1.
See also
- Banach algebra
- Composition algebra
- Division algebra
- Gelfand–Mazur theorem
- Hurwitz's theorem (composition algebras)