Equivalence of some geometric and related results of nonlinear functional analysis
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Josef Daneš (1985)
Commentationes Mathematicae Universitatis Carolinae
Andreas Stieglitz (1978/1979)
Manuscripta mathematica
Marc Rogalski (1975/1976)
Séminaire Choquet. Initiation à l'analyse
G. Noel (1972)
Mémoires de la Société Mathématique de France
B. Maurey (1972/1973)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
Gilles Godefroy (1975/1976)
Séminaire Choquet. Initiation à l'analyse
Michèle Capon (1973)
Mathematica Scandinavica
João C. Prandini (1993)
Mathematica Bohemica
We present two types of representation theorems: one for linear continuous operators on space of Banach valued regulated functions of several real variables and the other for bilinear continuous operators on cartesian products of spaces of regulated functions of a real variable taking values on Banach spaces. We use generalizations of the notions of functions of bounded variation in the sense of Vitali and Fréchet and the Riemann-Stieltjes-Dushnik or interior integral. A few applications using geometry...
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