Normed algebra

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

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

Some authors require it to have a multiplicative identity 1Template:Sub such that ║1Template:Sub║ = 1.

See also

• Banach algebra
• Composition algebra
• Division algebra
• Gelfand–Mazur theorem
• Hurwitz's theorem (composition algebras)

External reading

• Template:Cite encyclopedia

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