-convexity in infinite-dimensional Banach spaces and applications to Kergin interpolation.

Filipsson, Lars

Displaying similar documents to “ $ℂ$ -convexity in infinite-dimensional Banach spaces and applications to Kergin interpolation.”

On the level sum of two convex functions on Banach spaces.

Traoré, S., Volle, M. (1996)

Journal of Convex Analysis

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On the p-drop theorem, 1 ≤ p ≤∞.

Abdelhakim Maaden (2002)

Extracta Mathematicae

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Quotients of Continuous Convex Functions on Nonreflexive Banach Spaces

P. Holický, O. F. K. Kalenda, L. Veselý, L. Zajíček (2007)

Bulletin of the Polish Academy of Sciences. Mathematics

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On each nonreflexive Banach space X there exists a positive continuous convex function f such that 1/f is not a d.c. function (i.e., a difference of two continuous convex functions). This result together with known ones implies that X is reflexive if and only if each everywhere defined quotient of two continuous convex functions is a d.c. function. Our construction also gives a stronger version of Klee's result concerning renormings of nonreflexive spaces and non-norm-attaining functionals. ...

On some aspects of Jensen-Menger convexity.

Joanna Ger, Roman Ger (1992)

Stochastica

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The paper contains various results concerning the so-called homogeneity sets for convex functions defined on convex subsets of some special metric spaces named G-space (cf. H. Busemann [1]). A closed graph theorem for such type mappings is also presented.

On equivalent strictly G-convex renormings of Banach spaces

Nataliia Boyko (2010)

Open Mathematics

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We study strictly G-convex renormings and extensions of strictly G-convex norms on Banach spaces. We prove that ℓω(Γ) space cannot be strictly G-convex renormed given Γ is uncountable and G is bounded and separable.

S-rationally convex domains and the approximation of Silva-holomorphic functions by S-rational functions

Paques, O.W., Zaine, M.C. (1990)

Portugaliae mathematica

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A class of spaces lacking normal structure

W. L. Bynum (1972)

Compositio Mathematica

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A note on singular points of convex functions in Banach spaces

Luděk Zajíček (1993)

Acta Universitatis Carolinae. Mathematica et Physica

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Displaying similar documents to “ ℂ -convexity in infinite-dimensional Banach spaces and applications to Kergin interpolation.”

Displaying similar documents to “ $ℂ$ -convexity in infinite-dimensional Banach spaces and applications to Kergin interpolation.”