Normed algebra

{{one source |date=May 2024}}

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

: $\backslash forall\; x,y\backslash in\; A\backslash qquad\; \backslash |xy\backslash |\backslash le\backslash |x\backslash |\backslash |y\backslash |.$

Some authors require it to have a multiplicative identity 1{{sub|A}} such that ║1{{sub|A}}║ = 1.