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Cônes asymptotes d’ensembles non convexes. (French) Zbl 0433.46005


MSC:

46A40 Ordered topological linear spaces, vector lattices
46A55 Convex sets in topological linear spaces; Choquet theory
52A07 Convex sets in topological vector spaces (aspects of convex geometry)
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References:

[1] - M. ATTEIA . Fonctions spline définies sur un ensemble convexe . Num. Math. 12 ( 1968 ) p. 192-210. MR 41 #2265 | Zbl 0186.45202 · Zbl 0186.45202 · doi:10.1007/BF02162912
[2] - J. BAIR . Cones asymptotes et cônes caractéristiques. Bulletin de la société royale des sciences de Liège n^\circ 9-10, 1971 , p. 428. MR 45 #9098 | Zbl 0228.46004 · Zbl 0228.46004
[3] - N. BOURBAKI . Espaces vectoriels topologiques . Hermann, Paris ( 1966 ). Zbl 0145.37702 · Zbl 0145.37702
[4] - G. CHOQUET . Ensembles et cônes faiblement complets . CRAS - 254 ( 1962 ) p. 1908-1910. MR 24 #A2218 | Zbl 0107.08801 · Zbl 0107.08801
[5] - J. DIEUDONNE . Sur la séparation des ensembles convexes . Math. Annalen 163, 1966 , p. 1-3. MR 33 #3071 | Zbl 0131.11401 · Zbl 0131.11401 · doi:10.1007/BF02052480
[6] - J.P. DEDIEU . Etude d’un point de vue projectif des fonctionnelles convexes . Thèse 3ème cycle - Toulouse.
[7] - S.D. FISHER et J.W. JEROME . Minimum norm extremal in fonction spaces - Lectures Notes in Math. N^\circ 479. Zbl 0307.41027 · Zbl 0307.41027 · doi:10.1007/BFb0097059
[8] - J.L. JOLY . Une famille de topologies et de convergences sur l’ensemble des fonctionnelles convexes . Thèse - Grenoble. · Zbl 0282.46005
[9] - P.J. LAURENT . Approximation et Optimisation . Hermann, Paris ( 1972 ). MR 57 #6947 | Zbl 0238.90058 · Zbl 0238.90058
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