Lectures on Choquet's theorem /
Guardado en:
| Autor Principal: | |
|---|---|
| Formato: | Libro |
| Idioma: | English |
| Publicado: |
Princeton, N.J. :
Van Nostrand,
c1966.
|
| Series: | Van Nostrand mathematical studies ;
no. 7 |
| Materias: | |
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Tabla de Contenidos:
- 1. Introduction. The Krein-Milman theorem as an integral representation theorem
- 2. Application of the Krein-Milman theorem to completely monotonic functions
- 3. Choquet's theorem: The metrizable case
- 4. The Choquet-Bishop-de Leeuw existence theorem
- 5. Application to Rainwater's theorem
- 6. A new setting: The Choquet boundary
- 7. Application of the Choquet boundary to resolvents
- 8. The Choquet boundary for function algebras
- 9. Uniqueness of representing measures
- 10. Application to invariant and ergodic measures
- 11. A method for extending the representation theorems: Caps
- 12. A different method for extending the representation theorems
- 13. Orderings and dilations of measures
- 14. Suggestions for further reading.