The representations of linear functionals by measures on sets of extreme points
Annales de l'institut Fourier (1959)
- Volume: 9, page 305-331
- ISSN: 0373-0956
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topBishop, Errett, and De Leeuw, Karel. "The representations of linear functionals by measures on sets of extreme points." Annales de l'institut Fourier 9 (1959): 305-331. <http://eudml.org/doc/73756>.
@article{Bishop1959,
author = {Bishop, Errett, De Leeuw, Karel},
journal = {Annales de l'institut Fourier},
keywords = {functional analysis},
language = {eng},
pages = {305-331},
publisher = {Association des Annales de l'Institut Fourier},
title = {The representations of linear functionals by measures on sets of extreme points},
url = {http://eudml.org/doc/73756},
volume = {9},
year = {1959},
}
TY - JOUR
AU - Bishop, Errett
AU - De Leeuw, Karel
TI - The representations of linear functionals by measures on sets of extreme points
JO - Annales de l'institut Fourier
PY - 1959
PB - Association des Annales de l'Institut Fourier
VL - 9
SP - 305
EP - 331
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/73756
ER -
References
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- [3] E. BISHOP, Some theorems concerning function algebras, Bull. Amer. Math. Soc., vol. 85 (1959), pp. 77-78. Zbl0085.06502MR22 #190
- [4] E. BISHOP, A minimal boundary for function algebras, to appear in Pacific. Jour. Math. Zbl0087.28503
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- [6] N. BOURBAKI, Integration, Eléments de Mathématiques, XIII, Book VI, Paris, 1952.
- [7] G. CHOQUET, Existence des représentations intégrales au moyen des points extrémaux dans les cônes convexes, C. R. Acad. Sci., Paris, vol. 243 (1956), pp. 699-702. Zbl0071.10702MR18,219b
- [8] G. CHOQUET, Existence des représentations intégrales dans les cônes convexes, C. R. Acad. Sci., Paris, Vol. 243 (1956), 736-737. Zbl0071.10703MR19,399e
- [9] G. CHOQUET, Existence et unicité des représentations intégrales. Séminaire Bourbaki, Décembre 1956, 139-01 à 139-15. Zbl0121.09204
- [10] I. GLICKSBERG, The representation of functionals by integrals, Duke Math. Jour., vol. 19 (1952), pp. 253-261. Zbl0048.09004MR14,288d
- [11] P. HALMOS, Measure Theory, Van Nostrand, 1950. Zbl0040.16802MR11,504d
- [12] R. KADISON, A representation theory for commutative topological algebra, Mem. Amer. Math. Soc., n° 7. Zbl0042.34801
- [13] J. KELLEY, General topology, Van Nostrand, 1957.
Citations in EuDML Documents
top- Heron Sherwood Collins, Affine images of certain sets of measures
- Gustave Choquet, Le théorème de représentation intégrale dans les ensembles convexes compacts
- Paul-André Meyer, Sur les démonstrations nouvelles du théorème de Choquet
- David Alan Edwards, On the representation of certain functionals by measures on the Choquet boundary
- Gustave Choquet, Le théorème de représentation intégrale dans les ensembles convexes compacts
- Gustave Choquet, Remarques à propos de la démonstration d'unicité de P.-A. Meyer
- David Alan Edwards, G. F. Vincent-Smith, A Weierstrass-Stone theorem for Choquet simplexes
- Pavel Čihák, Comparability of Borel probability measures on euclidean line
- Dale Alspach, Operators on C(ω^α) which do not preserve C(ω^α)
- Alain Goullet de Rugy, Faces complémentables dans un simplexe
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