Two characterizations of super-reflexive Banach spaces by the behaviour of differences of convex functions

DOI10.1006/jfan.2001.3854zbMath1010.46010OpenAlexW2071058995MaRDI QIDQ1614767

Manuel Cepedello Boiso

Publication date: 8 September 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2001.3854

zbMATH Keywords

superreflexivityDelta-convex function

Mathematics Subject Classification ID

Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (3)

Smooth approximation of convex functions in Banach spaces ⋮ Multidimensional moduli of convexity and rotundity in Banach spaces ⋮ Tangentially ds functions

Cites Work

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• Martingales with values in uniformly convex spaces
• Approximation of Lipschitz functions by \(\Delta\)-convex functions in Banach spaces
• Banach spaces which can be given an equivalent uniformly convex norm
• On the differentiation of convex functions in finite and infinite dimensional spaces
• Optimization of Globally Convex Functions
• On regularization in superreflexive Banach spaces by infimal convolution formulas

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