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Hahn-Banach extensions which are maximal on a given cone. (English) Zbl 0188.18702


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[1] Alfsen, E. M., Skau, Chr.: Existence et unicité des représentations intégrales par les mesures simpliciales sur la frontière extremale d’un convexe compact. C. R. Acad. Sci. (Paris)268, 1390-1393 (1969). · Zbl 0175.13105
[2] Bauer, H.: ?ilovscher Rand und Dirichletsches Problem. Ann. Inst. Fourier (Grenoble)11, 89-136 (1961). · Zbl 0098.06902
[3] Hervé, M.: Sur les représentations intégrales a l’aide des points extremaux dans un ensemble compact convexe métrisable. C.R. Acad. Sci. (Paris)253, 366-368 (1961).
[4] Phelps, R.: Lectures on Choquet’s theorem. Math. Studies, Princeton: Van Nostrand, 1966. · Zbl 0135.36203
[5] Vincent-Smith, F. G.: Choquet’s theorem and Caratheodory’s theorem. (To appear).Note. Another way of proving the existence of extreme boundary measures can be found in a paper by Lumer ([6], Theorem 3).
[6] Lumer, G.: Points extrémaux associés; frontières de ?ilov et Choquet; principe du minimum. C.R. Acad. Sci. (Paris)265, 858-861 (1963). · Zbl 0111.10803
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