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Bishop, Errett; de Leeuw, Karel

The representations of linear functionals by measures on sets of extreme points. (English) Zbl 0096.08103

Ann. Inst. Fourier 9, 305-331 (1959).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 4 Reviews
Cited in 72 Documents

Keywords:

functional analysis
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References:

[1] [1] and , Function values as boundary integrals, Proc. Amer. Math. Soc., vol. 5 (1954), 735-745. · Zbl 0056.33501
[2] [2] , Un problème de Dirichlet pour la frontière de Šilov d’un espace compact, C. R. Acad. Sci., Paris, vol. 247 (1958), pp. 843-846. · Zbl 0083.09501
[3] [3] , Some theorems concerning function algebras, Bull. Amer. Math. Soc., vol. 85 (1959), pp. 77-78. · Zbl 0085.06502
[4] E. BISHOP, A minimal boundary for function algebras, to appear in Pacific. Jour. Math.0087.28503 · Zbl 0087.28503
[5] [5] and , Geometrical properties of the unit sphere of Banach algebras, Ann. of Math., vol. 62 (1955), pp. 217-229. · Zbl 0067.35002
[6] [6] , Integration, Eléments de Mathématiques, XIII, Book VI, Paris, 1952.
[7] [7] , Existence des représentations intégrales au moyen des points extrémaux dans les cônes convexes, C. R. Acad. Sci., Paris, vol. 243 (1956), pp. 699-702. · Zbl 0071.10702
[8] [8] , Existence des représentations intégrales dans les cônes convexes, C. R. Acad. Sci., Paris, Vol. 243 (1956), 736-737. · Zbl 0071.10703
[9] [9] , Existence et unicité des représentations intégrales. Séminaire Bourbaki, Décembre 1956, 139-01 à 139-15. · Zbl 0121.09204
[10] [10] , The representation of functionals by integrals, Duke Math. Jour., vol. 19 (1952), pp. 253-261. · Zbl 0048.09004
[11] [11] , Measure Theory, Van Nostrand, 1950. · Zbl 0040.16802
[12] [12] , A representation theory for commutative topological algebra, Mem. Amer. Math. Soc., n° 7. · Zbl 0042.34801
[13] J. KELLEY, General topology, Van Nostrand, 1957.
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