Category:Normed Algebras

This category contains results about Normed Algebras.
Definitions specific to this category can be found in Definitions/Normed Algebras.

Let $R$ be a division ring with norm $\norm {\,\cdot\,}_R$.

A normed algebra over $R$ is a pair $\struct {A, \norm{\,\cdot\,} }$ where:

$A$ is a algebra over $R$

$ \norm{\,\cdot\,} $ is a norm on $A$.