Banach algebra

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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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

Banach algebra

(mathematics)
An algebra in which the vector space is a Banach space.
This article is provided by FOLDOC - Free Online Dictionary of Computing (foldoc.org)
References in periodicals archive ?
Kaniuth and Lau survey roughly 50 years of research into the role that Fourier and Fourier-Stieltjes algebras has played not only in helping clarify the natural of locally compact groups, but also in building bridges between abstract harmonic analysis, Banach algebras, and operator algebras.
Shatry, Characterization of higher derivations on Banach algebras, to appear.
As a corollary of Theorem 5, we obtain the following stability result of (6), which generalizes stability result on Banach algebras.
Dhage, "A fixed point theorem in Banach algebras with applications to fractional integral equations," Kyungpook Mathematical Journal, vol.
The study gained momentum after the formulation of the hybrid fixed point principles in Banach algebras due to Dhage [7, 8].
Let A and B be complex Banach algebras and let [phi] : A [right arrow] B be a linear map.
Rota-Baxter operators appeared in the work of Baxter [3] on differential operators on commutative Banach algebras, being particularly useful in relation to the Spitzer identity.
Lashkarizadeh Bami, The multiplier algebra and BSE property of the direct sum of Banach algebras, Bull.
M-Ideals in Banach Spaces and Banach Algebras. Lecture Notes in Mathematics, vol.
The main objective of the present study is to establish an existence result for the problem (1) under Lipschitz and Caratheodory conditions by applying a fixed point theorem in Banach algebras due to Dhage [35].
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.