Complex Function Algebras and Removable Spaces

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The compact Hausdorff space X has the Complex Stone-Weierstrass Property (CSWP) iff it satisfies the complex version of the Stone-Weierstrass Theorem. W. Rudin showed that all scattered spaces have the CSWP. We describe some techniques for proving that certain non-scattered spaces have the CSWP. In particular, if X is the product of a compact ordered space and a compact scattered space, then X has the CSWP if and only if X does not contain a copy of the Cantor set.
24 pages

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General Topology, Functional Analysis, 54C35; 46J10

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http://salesiana.dossiersoluciones.com/handle/123456789/69303

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311392
 http://arxiv.org/abs/math/0311392

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arXiv