A class of spaces lacking normal structure
W. L. Bynum (1972)
Compositio Mathematica
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Displaying similar documents to “Uniformly convex norms in spaces with unconditional basis”
A class of spaces lacking normal structure
An Inequality Related to the Uniform Convexity in Banach Spaces
Miroslav Pavlović (1993)
Matematički Vesnik
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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. ...
Uniformly convex and uniformly smooth convex functions
Dominique Azé, Jean-Paul Penot (1995)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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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.
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 ∆-uniform convexity and drop property
S. Rolewicz (1987)
Studia Mathematica
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