O integralnoj reprezentaciji linearnog operatora
On a class of densities of sets of positive integers.
On a tensor product of weakly compact mappings
On automatic boundedness of Nemytskiĭ set-valued operators
Let X, Y be two separable F-spaces. Let (Ω,Σ,μ) be a measure space with μ complete, non-atomic and σ-finite. Let be the Nemytskiĭ set-valued operator induced by a sup-measurable set-valued function . It is shown that if maps a modular space into subsets of a modular space , then is automatically modular bounded, i.e. for each set K ⊂ N(L(Ω,Σ,μ;X)) such that we have .
On Carathéodory type selections
On compact group-valued measures
On consequences of the Banach-Kuratowski theorem for Stone algebra valued measures
On continuity of group homomorphisms
On control submeasures and measures
On convergence of integrals in o-minimal structures on archimedean real closed fields
We define a notion of volume for sets definable in an o-minimal structure on an archimedean real closed field. We show that given a parametric family of continuous functions on the positive cone of an archimedean real closed field definable in an o-minimal structure, the set of parameters where the integral of the function converges is definable in the same structure.
On Denjoy-Dunford and Denjoy-Pettis integrals
The two main results of this paper are the following: (a) If X is a Banach space and f : [a,b] → X is a function such that x*f is Denjoy integrable for all x* ∈ X*, then f is Denjoy-Dunford integrable, and (b) There exists a Dunford integrable function which is not Pettis integrable on any subinterval in [a,b], while belongs to for every subinterval J in [a,b]. These results provide answers to two open problems left by R. A. Gordon in [4]. Some other questions in connection with Denjoy-Dundord...
On extension of Baire vector measures
On extension of group valued measures
On extension of maps with values in ordered spaces
On extension of vector polymeasures
On extension of vector polymeasures. II.
On functions whose improper Riemann integral is absolutely convergent
On Henstock-Dunford and Henstock-Pettis integrals.
On homomorphisms of projective lattices in complex Hilbert spaces
On ideals with projective bases.