Generalized midconvexity

Jacek Tabor; Józef Tabor; Krzysztof Misztal

Displaying similar documents to “Generalized midconvexity”

A systematization of convexity concepts for sets and functions.

Breckner, Wolfgang W., Kassay, Gábor (1997)

Journal of Convex Analysis

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Uniform G-Convexity for Vector-Valued Lp Spaces

Boyko, Nataliia, Kadets, Vladimir (2009)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 46B20. Uniform G-convexity of Banach spaces is a recently introduced natural generalization of uniform convexity and of complex uniform convexity. We study conditions under which uniform G-convexity of X passes to the space of X-valued functions Lp (m,X).

A note on the convexity theorem for mean values of subtemperatures.

Brzezina, Miroslav (1996)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

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Coefficient of orthogonal convexity of some Banach function spaces

Paweł Kolwicz, Stefan Rolewicz (2004)

Studia Mathematica

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We study orthogonal uniform convexity, a geometric property connected with property (β) of Rolewicz, P-convexity of Kottman, and the fixed point property (see [19, [20]). We consider the coefficient of orthogonal convexity in Köthe spaces and Köthe-Bochner spaces.

Carathéodory's and Helly's dimensions of products of convexity structures

Marek Lassak (1982)

Colloquium Mathematicae

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Uniform c-convexity of $L^{p}$ , $0 < p \leq 1$ .

Pavlović, Miroslav (1988)

Publications de l'Institut Mathématique. Nouvelle Série

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Equality of the Lebesgue and the inductive dimension functions for compact spaces with a uniform convexity

Jan van Mill, Marcel van de Vel (1986)

Colloquium Mathematicae

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Starshapedness in convexity spaces

Krzysztof Kołodziejczyk (1985)

Compositio Mathematica

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On Property β of Rolewicz in Köthe-Bochner Function Spaces

Paweł Kolwicz (2005)

Bulletin of the Polish Academy of Sciences. Mathematics

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It is proved that the Köthe-Bochner function space E(X) has property β if and only if X is uniformly convex and E has property β. In particular, property β does not lift from X to E(X) in contrast to the case of Köthe-Bochner sequence spaces.

The Generalized Three Circle - And Other Convexity Theorems with Application to the Construction of Envelopes of Holomorphy

H. J. Borchers (1976)

Recherche Coopérative sur Programme n°25

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Euclidean Convexity Cannot be Compactified.

M. van de Vel (1983)

Mathematische Annalen

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Visibility cells and $T$ -convexity spaces

Juan C. Bressan, Fausto A. Toranzos (1992)

Compositio Mathematica

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