Eine Konvexitätsungleichung für Integrale in Fréchet-Räumen.
El teorema de Radon-Nikodym en espacios bornológicos.
Embedding in
If is a measurable space and a Banach space, we provide sufficient conditions on and in order to guarantee that , the Banach space of all -valued countably additive measures of bounded variation equipped with the variation norm, contains a copy of if and only if does.
Errata : « Les semi-martingales formelles »
Espacios LP y teoremas de convergencia para integrales vectoriales.
Exemples d'utilisation de la théorie des applications radonifiantes
Exhaustive measures in arbitrary topological vector spaces
Extension of Linear Operators
Extension of vector measures
Extension theorems (vector measures on quantum logics)
Extensions of the representation theorems of Riesz and Fréchet
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...
Extreme points in spaces of operators and vector – valued measures