Normed algebra

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

\forall x,y\in A\qquad \|xy\|\le\|x\|\|y\|

Optionally, it is sometimes required to have a multiplicative identity 1A such as ║1A║ = 1.

See also[edit]

External Reading[edit]

"Normed Algebra". Encyclopaedia of Mathematics. Retrieved 6 June 2013.