Normed algebra
From HandWiki
In mathematics, a normed algebra A is an algebra over a field which has a sub-multiplicative norm:
- [math]\displaystyle{ \forall x,y\in A\qquad \|xy\|\le\|x\|\|y\|. }[/math]
Some authors require it to have a multiplicative identity 1A such that ║1A║ = 1.
See also
- Banach algebra
- Composition algebra
- Division algebra
- Gelfand–Mazur theorem
- Hurwitz's theorem (composition algebras)
External reading
"Normed Algebra". Encyclopaedia of Mathematics. https://www.encyclopediaofmath.org/index.php/Normed_algebra. Retrieved 20 May 2018.
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