Artículos de revistas
A Note On A Choquet-deny-type Theorem
Registro en:
Bulletin Of The Korean Mathematical Society. , v. 43, n. 4, p. 861 - 868, 2006.
10158634
2-s2.0-33845394610
Autor
Kashimoto M.S.
Prolla J.B.
Institución
Resumen
We present a Choquet-Deny-type theorem for downward filtering convex sets of continuous functions and show that the Identity Korovkin cone of a downward filtering convex cone S is exactly the uniform closure of S. 43 4 861 868 Choquet, G., Deny, J., Ensembles semi-réticulés et ensembles réticulés de fonctions continues (1957) J. Math. Pures Appl., 36 (9), pp. 179-189 Flösser, H.O., Irmisch, R., Roth, W., Infimum-stable convex cones and approximation (1981) Proc. London Math. Soc., 42 (1-3), pp. 104-120 Nachbin, L., Topology and Order (1976), Van Nostrand, Princeton, NJ, 1965 reprinted by Keirgar, Huntington, NYNachbin, L., Elements of Approximation Theory (1976), Van Nostrand, Princeton, NJ, 1967 reprinted by Krieger, Huntington, N. YPriestley, H.A., A Choquet-Deny theorem for affine functions on a Choquet simplex (1968) Proc. Edinburgh Math. Soc., 16 (2), pp. 325-327 Prolla, J.B., The uniform closure of convex semi-lattices (1994) Approximation, Probability and Related Fields, pp. 413-421. , Plenum, New York