Normed algebra

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

${\displaystyle \mathrm{\forall }x,y\in A\Vert xy\Vert \le \Vert x\Vert \Vert y\Vert .}$

Some authors require it to have a multiplicative identity 1_A such that ║1_A║ = 1.

• "Normed Algebra". Encyclopaedia of Mathematics. https://www.encyclopediaofmath.org/index.php/Normed_algebra. Retrieved 20 May 2018. 

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