Lectures on Choquet's theorem
by Robert R. Phelps.
Princeton, N.J. : Van Nostrand, ©1966.
v, 130 págs. ; 21 cm.
Serie: Van Nostrand mathematical studies ; no. 7
Bibliografía: p. 125-127.
Reseña: MathSciNet, 33 #1690
Contenido
- 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.