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Spaces of Continuous Functions
The space C(X) of all continuous functions on a compact space X carries the structure of a normed vector space, an algebra and a lattice. On the one hand we study the relations between these structures and the topology of X, on the other hand we discuss a number of classical results according to whi...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Paris :
Atlantis Press : Imprint: Atlantis Press,
2016.
|
| Edición: | 1st ed. 2016. |
| Colección: | Atlantis Studies in Mathematics,
4 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Topological Preliminaries
- Metrizable Compact Spaces
- The Stone-Weierstrass Theorem
- Weak Topologies. The Alaoglu Theorem
- Riesz Spaces
- Yosida's Representation Theorem
- The Stone-Čech compactification
- Evaluations
- C(X) determines X
- The Riesz Representation Theorem
- Banach Algebras
- Other Scalars.