Generalization of the B *‐algebra (C0(X),∥ ∥∞) |
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| Authors: | Jorma Arhippainen Jukka Kauppi |
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| Affiliation: | 1. Department of Mathematical Sciences, P. O. Box 3000, FIN–90014 University of Oulu, Finland;2. Phone: +35 8407083990, Fax: +35 885531730 |
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| Abstract: | We give a generalization of the Stone–Weierstrass property for subalgebras of C (X), with X a completely regular Hausdorff space. In particular, we study in this paper some subalgebras of C0(X), with X a locally compact Hausdorff space, provided with weighted norm topology. By using the Stone–Weierstrass property, we then describe the ideal structure of these algebras. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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| Keywords: | Banach algebras Stone– Weierstrass algebras closed ideals |
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