Convexity with given infinite weight sequences.
Zoltán Daróczy, Zsolt Páles (1987)
Stochastica
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Zoltán Daróczy, Zsolt Páles (1987)
Stochastica
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R. Ger (1970)
Fundamenta Mathematicae
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Gilles Hargé (2005)
Annales de l'I.H.P. Probabilités et statistiques
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Ivanov, M., Zlateva, N. (2000)
Serdica Mathematical Journal
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We consider the question whether the assumption of convexity of the set involved in Clarke-Ledyaev inequality can be relaxed. In the case when the point is outside the convex hull of the set we show that Clarke-Ledyaev type inequality holds if and only if there is certain geometrical relation between the point and the set.
Zippin, M. (2000)
Serdica Mathematical Journal
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∗Participant in Workshop in Linear Analysis and Probability, Texas A & M University, College Station, Texas, 2000. Research partially supported by the Edmund Landau Center for Research in Mathematical Analysis and related areas, sponsored by Minerva Foundation (Germany). The space K[0, 1] of differences of convex functions on the closed interval [0, 1] is investigated as a dual Banach space. It is proved that a continuous function f on [0, 1] belongs to K[0, 1] ...
James Roberts (1977)
Studia Mathematica
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R. Faber (1995)
Studia Mathematica
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We prove that for every closed locally convex subspace E of and for any continuous linear operator T from to there is a continuous linear operator S from to such that T = QS where Q is the quotient map from to .