Phelps, Robert R. (Robert Ralph), 1926-
Lectures on Choquet's theorem / by Robert R. Phelps.
— Princeton, N.J. : Van Nostrand, c1966. v, 130 p. ; 21 cm. — (Van Nostrand mathematical studies ; no. 7)
Bibliografía: p. 125-127.
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.
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