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On the geometry of stable compact convex sets. (English) Zbl 0339.46001


MSC:

46A03 General theory of locally convex spaces
52A05 Convex sets without dimension restrictions (aspects of convex geometry)
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References:

[1] Alfsen, E.M.: Compact convex sets and boundary integrals. Berlin, Heidelberg, New York: Springer 1971 · Zbl 0209.42601
[2] Alfsen, E.M.: On the geometry of Choquet simplexes. Math. Scand.15, 97-110 (1964) · Zbl 0189.42802
[3] Clausing, A., Mägerl, G.: Generalized Dirichlet problems and continuous selections of representing measures. Math. Ann.216, 71-78 (1975) · Zbl 0299.31008
[4] Kalman, J.A.: Continuity and convexity of projections and barycentric coordinates in convex polyhedra. Pacific J. Math.11, 1017-1022 (1961) · Zbl 0131.20004
[5] Lazar, A.J.: Polyhedral Banach spaces and extensions of compact operators. Israel J. Math.12, 357-364 (1969) · Zbl 0204.45101
[6] Lima, Å.: On continuous convex functions and split faces. Proc. London Math. Soc.25, 27-40 (1972) · Zbl 0236.46024
[7] O’Brien, R.C.: On the openness of the barycentre map. Math. Ann.223, 207-212 (1976) · Zbl 0327.46004
[8] Vesterstrøm, J.: On open maps, compact sets, and operators algebras. J. London Math. Soc.6, 289-297 (1973) · Zbl 0252.46061
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