On Uniformly Convex and Uniformly Kadec-Klee Renomings

Lancien, Gilles

Displaying similar documents to “On Uniformly Convex and Uniformly Kadec-Klee Renomings”

Reflexive Banach spaces without equivalent norms which are uniformly convex or uniformly differentiable in every direction

D. Kutzarova, S. Troyanski (1982)

Studia Mathematica

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A nearly uniformly convex space which is not a $(β)$ -space

Denka Kutzarova (1989)

Acta Universitatis Carolinae. Mathematica et Physica

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On regularization in superreflexive Banach spaces by infimal convolution formulas

Manuel Cepedello-Boiso (1998)

Studia Mathematica

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We present here a new method for approximating functions defined on superreflexive Banach spaces by differentiable functions with α-Hölder derivatives (for some 0 < α≤ 1). The smooth approximation is given by means of an explicit formula enjoying good properties from the minimization point of view. For instance, for any function f which is bounded below and uniformly continuous on bounded sets this formula gives a sequence of Δ-convex $C^{1, α}$ functions converging to f uniformly on bounded...