Bases and complete systems for analytic functions
J. Cooper (1969)
Studia Mathematica
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J. Cooper (1969)
Studia Mathematica
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J. A. López Molina (1986)
Collectanea Mathematica
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M. Valdivia (1989)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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T. Figiel, W. B. Johnson (1974)
Compositio Mathematica
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Seán Dineen (1971)
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Richard Aron (1973)
Studia Mathematica
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R. Ger (1970)
Fundamenta Mathematicae
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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...
D. Kutzarova, S. Troyanski (1982)
Studia Mathematica
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Zippin, M. (2000)
Serdica Mathematical Journal
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∗Participant in Workshop in Linear Analysis and Probability, Texas A & M University, College Station, Texas, 2000. Research partially supported by the Edmund Landau Center for Research in Mathematical Analysis and related areas, sponsored by Minerva Foundation (Germany). The space K[0, 1] of differences of convex functions on the closed interval [0, 1] is investigated as a dual Banach space. It is proved that a continuous function f on [0, 1] belongs to K[0, 1] ...