Lectures on Choquet s Theorem
A well written, readable and easily accessible introduction to "Choquet theory", which treats the representation of elements of a compact convex set as integral averages over extreme points of the set. The interest in this material arises both from its appealing geometrical nature as well...
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Lenguaje: | Anglais |
| Publicado: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Colección: | Lecture notes in mathematics
1757 |
| Materias: | |
| Acceso en línea: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Lectures on Choquet's theorem, Robert R. Phelps, 2nd edition, 2001, Berlin, Springer, 1 vol. (124 p.), Lecture notes in mathematics, 3-540-41834-2 • Lectures on Choquet's Theorem, Texte imprimé, 9783662173381 |
Tabla de Contenidos:
- The Krein-Milman theorem as an integral representation theorem
- Application of the Krein-Milman theorem to completely monotonic functions
- Choquet s theorem: The metrizable case.
- The Choquet-Bishop-de Leeuw existence theorem
- Applications to Rainwater s and Haydon s theorems
- A new setting: The Choquet boundary
- Applications of the Choquet boundary to resolvents
- The Choquet boundary for uniform algebras
- The Choquet boundary and approximation theory
- Uniqueness of representing measures.
- Properties of the resultant map
- Application to invariant and ergodic measures
- A method for extending the representation theorems: Caps
- A different method for extending the representation theorems
- Orderings and dilations of measures
- Additional Topics.