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Keywords:
Choquet theory; function space; product; projective limit; simplicial space
Choquet theory; function space; product; projective limit; simplicial space
Summary:
References:
[1] Alfsen E.M.: Compact Convex Sets and Boundary Integrals. Springer, New York-Heidelberg, 1971. MR 0445271 | Zbl 0209.42601
[2] Batty C.J.K.: Maximal measures on tensor products of compact convex sets. Quart. J. Math. Oxford Ser. (2) 33 (1982), 1-10. MR 0689847 | Zbl 0439.46008
[3] Behrends E., Wittstock G.: Tensorprodukte kompakter konvexer Mengen. Invent. Math. 10 (1970), 251-266. MR 0272693 | Zbl 0197.38406
[4] Boboc N., Cornea A.: Convex cones of lower semicontinuous functions on compact spaces. Rev. Roumaine Math. Pures Appl. 12 (1967), 471-525. MR 0216278 | Zbl 0155.17301
[5] Bourbaki N.: General Topology. Chapters 1-4. 2nd printing, Springer, Berlin, 1989. MR 0979294 | Zbl 1107.54001
[6] Davies E.B., Vincent-Smith G.F.: Tensor products, infinite products, and projective limits of Choquet simplexes. Math. Scand. 22 (1968), 145-164. MR 0243316 | Zbl 0176.42802
[7] Enflo P.: A counterexample to the approximation problem in Banach spaces. Acta Math. 130 (1973), 309-317. MR 0402468 | Zbl 0267.46012
[8] Fremlin D.H.: Measure Theory, vol. 4. Torres Fremlin, 2003. MR 2462372 | Zbl 1166.28001
[9] Grossman M.W.: A Choquet boundary for the product of two compact spaces. Proc. Amer. Math. Soc. 16 (1965), 967-971. MR 0180879 | Zbl 0139.06702
[10] Grossman M.W.: Limits and colimits in certain categories of spaces of continuous functions. Dissertationes Math. 79 (1970). MR 0276740 | Zbl 0221.46062
[11] Hulanicki A., Phelps R.R.: Some applications of tensor products of partially-ordered linear spaces. J. Funct. Anal. 2 (1968), 177-201. MR 0225135 | Zbl 0159.41504
[12] Jacobs K.: Measure and Integral. Academic Press, New York-London, 1978. MR 0514702 | Zbl 0446.28001
[13] Jellett F.: Homomorphisms and inverse limits of Choquet simplexes. Math. Z. 103 (1968), 219-226. MR 0221278 | Zbl 0164.43303
[14] Johnson W.B., Lindenstrauss J. (Eds.): Handbook of the Geometry of Banach Spaces. Volume 1, North-Holland, Amsterdam, 2001. MR 1863689 | Zbl 1013.46001
[15] Kačena M., Spurný J.: Affine images of compact convex sets and maximal measures. preprint, available at http://www.karlin.mff.cuni.cz/kma-preprints
[16] Lazar A.J.: Affine products of simplexes. Math. Scand. 22 (1968), 165-175. MR 0251500 | Zbl 0176.42803
[17] Lazar A.J.: Spaces of affine continuous functions on simplexes. Trans. Amer. Math. Soc. 134 (1968), 503-525. MR 0233188 | Zbl 0174.17102
[18] Namioka I., Phelps R.R.: Tensor products of compact convex sets. Pacific J. Math. 31 (1969), 469-480. MR 0271689
[19] Semadeni Z.: Banach spaces of continuous functions. Vol. I. Monografie Matematyczne, Tom 55, PWN-Polish Scientific Publishers, Warszawa, 1971. MR 0296671
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