Near smoothness of Banach spaces.
Józef Banas, Kishin Sadarangani (1995)
Collectanea Mathematica
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The aim of this paper is to discuss the concept of near smoothness in some Banach sequence spaces.
Józef Banas, Kishin Sadarangani (1995)
Collectanea Mathematica
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The aim of this paper is to discuss the concept of near smoothness in some Banach sequence spaces.
Johanis, Michal (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 46B03 We prove that any Lipschitz mapping from a separable Banach space into any Banach space can be approximated by uniformly Gâteaux differentiable Lipschitz mapping. Supported by grants GAUK 277/2001, GA CR 201-01-1198, AV 101-90-03. This paper is a part of PhD thesis prepared under the supervision of Professor Petr Hájek.
V. Montesinos, J. R. Torregrosa (1991)
Collectanea Mathematica
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In this paper we prove that the geometrical notions of Rotundity and Uniform Rotundity of the norm in a Banach space are stable for the generalized Banach products.
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 functions converging to f uniformly on bounded...
V. Meshlov (1978)
Studia Mathematica
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V. Klee (1969)
Studia Mathematica
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Bertin Diarra (1995)
Annales mathématiques Blaise Pascal
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D. Kutzarova, S. Troyanski (1982)
Studia Mathematica
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M. Fabián, V. Zizler (1999)
Extracta Mathematicae
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