Banach algebra

(redirected from Normed algebra)

Banach algebra

[′bä‚näk ′al·jə·brə]
(mathematics)
An algebra which is a Banach space satisfying the property that for every pair of vectors, the norm of the product of those vectors does not exceed the product of their norms.

Banach algebra

(mathematics)
An algebra in which the vector space is a Banach space.
References in periodicals archive ?
Every unital (commutative or not) normed algebra (similarly, every unital p-normed algebra with p [member of] (0,1]) is a TQ-algebra, hence also a TQ-algebras (see [12], Proposition 2.
Let A be a normed algebra, [sigma] and [tau] two mappings on A and let M be an A-bimodule.
B] of A, generated by B, is a normed algebra with respect to the submultiplicative norm [parallel] x [parallel], defined by
Participants of the July 2008 conference share recent research on affine transformation crossed product type algebras and noncommutative surfaces, C*-algebras associated with iterated function systems, extending representations of normed algebras in Banach spaces, and freeness of group actions on C*-algebras.