Stable convex sets and extremal operators. (English) Zbl 0349.46002


46A03 General theory of locally convex spaces
46B99 Normed linear spaces and Banach spaces; Banach lattices
46E15 Banach spaces of continuous, differentiable or analytic functions
47B99 Special classes of linear operators
Full Text: DOI EuDML


[1] Blumenthal, R.M., Lindenstrauss, J., Phelps, R.R.: Extreme operators intoC(K). Pac. J. Math.15, 747-756 (1965) · Zbl 0141.32101
[2] Chang, S.M.: On continuous image averaging of probability measures. Pac. J. Math.65, 13-17 (1976) · Zbl 0315.60005
[3] Clausing, A., Mägerl, G.: Generalized Dirichlet problems and continuous selections of representing measures. Math. Ann.216, 71-78 (1975) · Zbl 0299.31008
[4] Corson, H.H., Lindenstrauss, J.: Continuous selections with nonmetrizable range. Trans. Amer. Math. Soc.121, 492-504 (1965) · Zbl 0148.16803
[5] Dunford, N., Schwartz, J.: Linear operators I. New York: Interscience 1958 · Zbl 0084.10402
[6] Fakhoury, H.: Préduaux deL-espaces et éléments extrémaux. Sém. Choquet 1970/71
[7] Lazar, A.J.: Affine functions on simplexes and extreme operators. Israel J. Math.5, 31-43 (1967) · Zbl 0149.08703
[8] Lazar, A.J., Lindenstrauss, J.: Banach spaces whose duals areL 1 spaces and their representing matrices. Acta Math.126, 165-193 (1971) · Zbl 0209.43201
[9] Lau, K.-S.: Extreme operators on Choquet simplexes. Pac. J. Math.52, 129-142 (1974) · Zbl 0254.46014
[10] Lindenstrauss, J.: Extension of compact operators. Memoirs Amer. Math. Soc.48 (1964) · Zbl 0141.12001
[11] Michael, E.: Continuous selections I.. Ann. of Math.63, 361-382 (1956) · Zbl 0071.15902
[12] Morris, P.D., Phelps, R.R.: Theorems of Krein-Milman type for certain convex sets of operators. Trans. Amer. Math. Soc.150, 183-200 (1970) · Zbl 0198.46601
[13] O’Brien, R.C.: On the openness of the barycentre map. Math. Ann.223, 207-212 (1976) · Zbl 0327.46004
[14] Papadopoulou, S.: On the geometry of stable compact convex sets. Math. Ann.229, 193-200 (1977) · Zbl 0349.46001
[15] Schwartz, L.: Radon measures on arbitrary topological spaces and cylindrical measures. Oxford: Oxford University Press 1973 · Zbl 0298.28001
[16] Sharir, M.: A note on extreme elements inA 0(K, E). Proc. Amer. Math. Soc.46, 244-246 (1974) · Zbl 0293.47015
[17] Vesterstrøm, J.: On open maps, compact convex sets, and operator algebras. J. London Math. Soc.6, 289-297 (1973) · Zbl 0252.46061
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