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 applications of projective tensor products to holomorphy.
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 convexity questions arising in statistical mechanics.
Some integral representations of differentiable functions.
Some more recent results concerning weak Asplund spaces.
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 properties on the closed subsets in Banach spaces
It is shown that under natural assumptions, there exists a linear functional does not have supremum on a closed bounded subset. That is the James Theorem for non-convex bodies. Also, a non-linear version of the Bishop-Phelps Theorem and a geometrical version of the formula of the subdifferential of the sum of two functions are obtained.
Some recent results concerning weak Asplund spaces
Some Relations Between Additive Functions - II
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 nonlinear functionals
Some remarks on strong (M,φ)-summability
Some remarks on sub-differential calculus.
Mean value inequalities are shown for functions which are sub- or super-differentiable at every point.