Lectures on Choquet's theorem /

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Autor Principal: Phelps, Robert R. 1926-
Formato: Libro
Idioma:English
Publicado: Princeton, N.J. : Van Nostrand, c1966.
Series:Van Nostrand mathematical studies ; no. 7
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245 1 0 |a Lectures on Choquet's theorem /  |c by Robert R. Phelps. 
260 |a Princeton, N.J. :  |b Van Nostrand,  |c c1966. 
300 |a v, 130 p. ;  |c 21 cm. 
440 0 |a Van Nostrand mathematical studies ;  |v no. 7 
504 |a Bibliografía: p. 125-127. 
505 0 |a 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. 
510 4 |a MR,  |c 33 #1690 
100 1 |a Phelps, Robert R.  |q (Robert Ralph),  |d 1926- 
246 3 0 |a Choquet's theorem 
650 0 |a Choquet theory. 
084 |a 46-01 (46A55 46J10)  |2 msc2000 
010 |a  66008845  
040 |a DLC/ICU  |c ICU  |d DLC 
859 |h 46  |i P538  |p A-2457  |b BIB. MATEMATICA