Suvarna Garge (Editor)

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:

∀ x , y ∈ A ∥ x y ∥ ≤ ∥ x ∥ ∥ y ∥

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

References

Normed algebra Wikipedia
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