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Netuka, I, 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. |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| 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 |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/1803 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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