Pervasive Algebras of Analytic Functions |
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Authors: | I. Netuka, A. G. O'Farrell,M. A. Sanabria-Garcí a, |
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Affiliation: | a Mathematical Institute, Charles University, Sokolovská, 83, 186 75, Praha 8, Czech Republic;b Department of Mathematics, National University of Ireland, Maynooth, Co. Kildare, Ireland |
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Abstract: | We characterize those open U in the sphere such that A(U) is complex-pervasive, and those such that Re A(U) is real-pervasive. Pervasive means, roughly, that the uniform closure on each proper closed subset of bdy U is the space of all continuous functions (to or , as the case may be). |
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