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 ?
Among the topics are non-compact trace class operators and Schatten-class operators in p-adic Hilbert spaces, spectra of commutative non-united Banach rings, the distance-preserving mappings and isometrics defined on non-Archimedean Banach spaces, non-Archimedean Hahn-Banach theorems and injective Banach spaces, and the sub-coordinate representation of p-adic functions.