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Pervasive algebras of analytic functions

Netuka, I and O'Farrell, A.G. and Sanabria-García, M.A (2000) Pervasive algebras of analytic functions. Journal of Approximation Theory, 106 (2). pp. 262-275. ISSN 0021-9045

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Abstract

Let X be a compact Hausdorff topological space and C(X, C) (respectively, C(X, R)) the Banach algebra of all continuous complex-valued (respectively, real-valued) functions on X endowed with the uniform norm. A function space S on X is a closed subspace of C(X, C). We denote by closC(E, C) S the closure in C(E, C) of the function space S, where E is a closed subset of X. Similarly, we denote by closC(E, R) S the closure in C(E, R) of the real subspace S of C(X, R).

Item Type: Article
Keywords: Approximation theory; Banach algebra.
Subjects: Science & Engineering > Mathematics
Item ID: 1803
Identification Number: 10.1006/jath.2000.349
Depositing User: Prof. Anthony O'Farrell
Date Deposited: 19 Jan 2010 17:55
Journal or Publication Title: Journal of Approximation Theory
Publisher: Elsevier
Refereed: Yes
URI:

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