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 fixed point theorems and existence of weak solutions of Volterra integral equation under Henstock-Kurzweil-Pettis integrability
In this paper we examine the set of weakly continuous solutions for a Volterra integral equation in Henstock-Kurzweil-Pettis integrability settings. Our result extends those obtained in several kinds of integrability settings. Besides, we prove some new fixed point theorems for function spaces relative to the weak topology which are basic in our considerations and comprise the theory of differential and integral equations in Banach spaces.
Some new results about Brooks-Jewett and Dieudonné-type theorems in -groups
In this paper we present some new versions of Brooks-Jewett and Dieudonné-type theorems for -group-valued measures.
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 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 the relation of classical set-valued mappings to the Baire classification
Some results concerning polymeasures.
Some theorems of Scorza-Dragoni type for multifunctions with application to the problem of existence of solutions for differential multivalued equations
Some theorems on measurable and continuous selections and some applications
Some versions of limit and Dieudonné-type theorems with respect to filter convergence for (ℓ)-group-valued measures
Some limit and Dieudonné-type theorems in the setting of (ℓ)-groups with respect to filter convergence are proved, extending earlier results.
Spaces of observables
Spaces of Vector-Valued Measurable Functions.
Stochastic processes in nuclear spaces: quasi-martingales and decompositions
Strict topologies as topological algebras
Let be a completely regular Hausdorff space, the space of all scalar-valued bounded continuous functions on with strict topologies. We prove that these are locally convex topological algebras with jointly continuous multiplication. Also we find the necessary and sufficient conditions for these algebras to be locally -convex.
Strongly additive functions on lattices
Structural properties of Banach and Fréchet spaces determined by the range of vector measures.
Substitution formulas for the Kurzweil and Henstock vector integrals
Results on integration by parts and integration by substitution for the variational integral of Henstock are well-known. When real-valued functions are considered, such results also hold for the Generalized Riemann Integral defined by Kurzweil since, in this case, the integrals of Kurzweil and Henstock coincide. However, in a Banach-space valued context, the Kurzweil integral properly contains that of Henstock. In the present paper, we consider abstract vector integrals of Kurzweil and prove Substitution...
Sur les mesures vectorielles définies par une application Pettis-intégrable
Sur les sélecteurs des multifonctions