# Banach algebra

Also found in: Wikipedia.

## 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.
Mentioned in ?
References in periodicals archive ?
infinity]]-representation Banach algebra R(S) of a commutative topological semigroup S was introduced and extensively studied by Dunkl and Ramirez in [4].
By the middle of the summer of 1958 I finished writing my Diploma thesis: a theorem of decomposition of an anti-symmetric Banach algebra into a direct sum of two symmetric Banach algebras which Foias and myself proved.
The norm on X and on B(X) the Banach algebra of all bounded linear operators acting on X, will be denoted by [parallel] * [paralle].
To be able to apply methods from the theory of Banach algebras to the solution of those problems, it is essential to determine if a class of linear operators of a sequence space X into itself is a Banach algebra; this is nontrivial if X is a BK space that does not have AK.
A painstakingly precise keeper of numbers - as a math prof, he wrote a two-volume, 1,617-page book on Banach algebra - Palmer has spreadsheets that shows he spent 8.
Let (X, [parallel]*[parallel]) be a Banach space and let B(X) be the Banach algebra of all linear and bounded operators acting from X into X.
Let B(H) denote the Banach algebra of all bounded linear operators on a Hilbert space H.
Every ([alpha], [phi])-approximate strongly higher derivation in a Banach algebra is a higher derivation.
2] is called a Banach algebra homomorphism if it is also multiplicative, i.
In [14], the present author investigated hypergeometric and basic hypergeometric series involving noncommutative parameters and argument (short: noncommutative hypergeometric series, and noncommutative basic or Q-hypergeometric series) over a unital ring R (or, when considering nonterminating series, over a unital Banach algebra R) from a different, nevertheless completely elementary, point of view.
The Banach algebra of continuous functions on [bar.
Let A be a commutative Banach algebra without order.

Site: Follow: Share:
Open / Close