On some mappings generating vector -measures
On Stone-type extensions for group-valued measures
On strongly additive set functions
On strongly Pettis integrable functions in locally convex spaces.
Some characterizations have been given for the relative compactness of the range of the indefinite Pettis integral of a function on a complete finite measure space with values in a quasicomplete Hausdorff locally convex space. It has been shown that the indefinite Pettis integral has a relatively compact range if the functions is measurable by seminorm. Separation property has been defined for a scalarly measurable function and it has been proved that a function with this property is integrable...
On superpositional measurability of semi-Carathéodory multifunctions
It is shown that product weakly measurable lower weak semi-Carathéodory multifunction is superpositionally measurable.
On superpositionally measurable multifunctions
On superpositionally measurable semi-Carathéodory multifunctions
For multifunctions , measurable in the first variable and semicontinuous in the second one, a relation is established between being product measurable and being superpositionally measurable.
On systems of null sets
The collection of all sets of measure zero for a finitely additive, group-valued measure is studied and characterised from a combinatorial viewpoint.
On the cliquish, quasicontinuous and measurable selections
The purpose of this paper is the investigation of the necessary and sufficient conditions under which a given multifunctions admits a cliquish and measurable selection. Our investigation also covers the search for quasicontinuous selections for multifunctions which are continuous with respect to the generalized notion of the semi-quasicontinuity.
On the conditional expectation in a regular ordered space
On the construction of outer measures with values in a uniform semigroup
On the continuity of the semivariation in locally convex spaces
On the control measures of vector measures.
Si Σ es una σ-álgebra y X un espacio localmente convexo se estudian las condiciones para las cuales una medida vectorial σ-aditiva γ : Σ → χ tenga una medida de control μ. Si Σ es la σ-álgebra de Borel de un espacio métrico, se obtienen condiciones necesarias y suficientes usando la τ aditividad de γ. También se dan estos resultados para las polimedidas.
On the distinguishing features of the Dobrakov integral.
On the expected value of vector lattice-valued random variables
On the extension of -poset valued measures
A variant of Alexandrov theorem is proved stating that a compact, subadditive -poset valued mapping is continuous. Then the measure extension theorem is proved for MV-algebra valued measures.
On the extension of measures
On the extension of positive operators
On the extension of subadditive measures in lattice ordered groups
A lattice ordered group valued subadditive measure is extended from an algebra of subsets of a set to a -algebra.