Sélection mesurable de mesures maximales
Semivariation in -spaces
Suppose that and are Banach spaces and that the Banach space is their complete tensor product with respect to some tensor product topology . A uniformly bounded -valued function need not be integrable in with respect to a -valued measure, unless, say, and are Hilbert spaces and is the Hilbert space tensor product topology, in which case Grothendieck’s theorem may be applied. In this paper, we take an index and suppose that and are -spaces with the associated -tensor product...
Sequential compactness for the weak topology of vector measures in certain nuclear spaces.
Set valued measures and integral representation
The extension theorem of bounded, weakly compact, convex set valued and weakly countably additive measures is established through a discussion of convexity, compactness and existence of selection of the set valued measures; meanwhile, a characterization is obtained for continuous, weakly compact and convex set valued measures which can be represented by Pettis-Aumann-type integral.
Sets with the Radon-Nikodým property in conjugate Banach space
Sobre el teorema de Dieudonné-Cirothendieck.
Sobre el teorema de Dieudonné-Grothendieck. Condiciones necesarias y suficientes.
Sobre la derivabilidad del producto de medidas vectoriales.
Sobre la existencia del producto de medidas valoradas en espacios localmente convexos: una condición necesaria.
A necessary condition is given for the existence of the tensor product of certain measures valued in locally convex spaces.
Some change of variable formulas in integral representation theory.
Some convergence theorems for HK-integral in locally convex spaces
We present some convergence theorems for the HK-integral of functions taking values in a locally convex space. These theorems are based on the concept of HK-equiintegrability.
Some integral representations of differentiable functions.
Some new classes of Banach-Mackey spaces.
Some problems arising in connection with the theory of vector measures
Some problems for measures on non-standard algebraic structures
Nell'ultimo ventennio tutta una serie di lavori è stata rivolta allo studio delle misure su strutture algebriche più generali delle algebre di Boole, come i poset e i reticoli ortomodulari, le effect algebras, le BCK-algebras. La teoria così ottenuta interessa l'analisi funzionale, il calcolo delle probabilità e la topologia, più recentemente la teoria delle decisioni. Si presentano alcuni risultati relativi a misure su strutture algebriche non-standard analizzando, in particolare, gli aspetti topologici...
Some properties and applications of equicompact sets of operators
Let X and Y be Banach spaces. A subset M of (X,Y) (the vector space of all compact operators from X into Y endowed with the operator norm) is said to be equicompact if every bounded sequence (xₙ) in X has a subsequence such that is uniformly convergent for T ∈ M. We study the relationship between this concept and the notion of uniformly completely continuous set and give some applications. Among other results, we obtain a generalization of the classical Ascoli theorem and a compactness criterion...
Some remarks on descriptive characterizations of the strong McShane integral
We present the full descriptive characterizations of the strong McShane integral (or the variational McShane integral) of a Banach space valued function defined on a non-degenerate closed subinterval of in terms of strong absolute continuity or, equivalently, in terms of McShane variational measure generated by the primitive of , where is the family of all closed non-degenerate subintervals of .
Some remarks on strong (M,φ)-summability
Some results concerning polymeasures.
Spaces of Vector-Valued Measurable Functions.