A characterization of Banach spaces possessing the Radon-Nikodym property is given in terms of finitely additive interval functions. We prove that a Banach space X has the RNP if and only if each X-valued finitely additive interval function possessing absolutely continuous variational measure is a variational Henstock integral of an X-valued function. Due to that characterization several X-valued set functions that are only finitely additive can be represented as integrals
Cette thèse traite quatre sujets différents de la théorie des espaces de Banach: Le premier est une ...
Abstract. Given two locally compact spaces X,Y and a continuous map r: Y → X the Banach lattice C0(Y...
summary:Using generalized absolute continuity, we characterize additive interval functions which are...
A characterization of Banach spaces possessing the Radon-Nikodym property is given in terms of finit...
A characterization of Banach spaces possessing the weak Radon-Nikodym property is given in terms of...
We present a characterization of Banach spaces possessing the weak Radon-Nikodym property in terms o...
Let X be a Banach space with a Schauder basis {en}, and let Φ(I)= ∑n en ∫I fn(t)dt be a finite...
{Variational measures in the theory of integration} {Luisa Di Piazza} {Palermo , Italy} We will pre...
International audienceWe prove that a Banach space $X$ has the Radon-Nikodym property if, and only i...
We present a complete characterization of finitely additive interval measures with values in conjuga...
In this paper we deal with interval multimeasures. We show some Radon–Nikodým theorems for such mult...
In this note we refine some classical characterizations of the Radon-Nikodým property (briefly RNP) ...
summary:For a Banach space $E$ and a probability space $(X, \mathcal{A}, \lambda)$, a new proof is g...
Abstract. In this note we present sufficient conditions for the existence of Radon-Nikodym derivativ...
AbstractThe analytic Radon-Nikodým property for a complex Banach space X is characterized in several...
Cette thèse traite quatre sujets différents de la théorie des espaces de Banach: Le premier est une ...
Abstract. Given two locally compact spaces X,Y and a continuous map r: Y → X the Banach lattice C0(Y...
summary:Using generalized absolute continuity, we characterize additive interval functions which are...
A characterization of Banach spaces possessing the Radon-Nikodym property is given in terms of finit...
A characterization of Banach spaces possessing the weak Radon-Nikodym property is given in terms of...
We present a characterization of Banach spaces possessing the weak Radon-Nikodym property in terms o...
Let X be a Banach space with a Schauder basis {en}, and let Φ(I)= ∑n en ∫I fn(t)dt be a finite...
{Variational measures in the theory of integration} {Luisa Di Piazza} {Palermo , Italy} We will pre...
International audienceWe prove that a Banach space $X$ has the Radon-Nikodym property if, and only i...
We present a complete characterization of finitely additive interval measures with values in conjuga...
In this paper we deal with interval multimeasures. We show some Radon–Nikodým theorems for such mult...
In this note we refine some classical characterizations of the Radon-Nikodým property (briefly RNP) ...
summary:For a Banach space $E$ and a probability space $(X, \mathcal{A}, \lambda)$, a new proof is g...
Abstract. In this note we present sufficient conditions for the existence of Radon-Nikodym derivativ...
AbstractThe analytic Radon-Nikodým property for a complex Banach space X is characterized in several...
Cette thèse traite quatre sujets différents de la théorie des espaces de Banach: Le premier est une ...
Abstract. Given two locally compact spaces X,Y and a continuous map r: Y → X the Banach lattice C0(Y...
summary:Using generalized absolute continuity, we characterize additive interval functions which are...