Density covers
Density in the space of topological measures
Topological measures (formerly "quasi-measures") are set functions that generalize measures and correspond to certain non-linear functionals on the space of continuous functions. The goal of this paper is to consider relationships between various families of topological measures on a given space. In particular, we prove density theorems involving classes of simple, representable, extreme topological measures and measures, hence giving a way of approximating various topological measures by members...
Density of a family of linear varietes
The measurability of the family, made up of the family of plane pairs and the family of lines in -dimensional space , is stated and its density is given.
Density theorems for measurable transformations
Density theorems for measurable transformations
Density-preserving homeomorphisms
Der Satz von Choquet-Bishop-de Leeuw für konvexe nicht kompakte Mengen straffer Maße.
Der Satz von Dunford-Pettis und die Darstellung von Massen mit Werten in lokalkonvexen Räumen.
Der "Satz von Fubini" in der allgemeinen Integrationstheorie.
Derivability, variation and range of a vector measure
We prove that the range of a vector measure determines the σ-finiteness of its variation and the derivability of the measure. Let F and G be two countably additive measures with values in a Banach space such that the closed convex hull of the range of F is a translate of the closed convex hull of the range of G; then F has a σ-finite variation if and only if G does, and F has a Bochner derivative with respect to its variation if and only if G does. This complements a result of [Ro] where we proved...
Derivación de medidas e integración vectorial bilineal.
Dérivation de mesures à valeurs vectorielles
Dérivation fonctionnelle abstraite.
Derivation in Orlicz spaces.
Derivative of the Donsker delta functionals
We prove that derivatives of any finite order of Donsker's delta functionals are well-defined elements in the space of Hida distributions. We also show the convergence to the derivative of Donsker's delta functionals of two different approximations. Finally, we present an existence result of finite product and infinite series of the derivative of the Donsker delta functionals.
Descriptive properties of density preserving autohomeomorphisms of the unit interval
We prove that density preserving homeomorphisms form a Π11-complete subset in the Polish space ℍ of all increasing autohomeomorphisms of unit interval.
Descriptive properties of mappings between nonseparable Luzin spaces
We relate some subsets of the product of nonseparable Luzin (e.g., completely metrizable) spaces to subsets of in a way which allows to deduce descriptive properties of from corresponding theorems on . As consequences we prove a nonseparable version of Kondô’s uniformization theorem and results on sets of points in with particular properties of fibres of a mapping . Using these, we get descriptions of bimeasurable mappings between nonseparable Luzin spaces in terms of fibres.
Descriptive properties of spaces of signed measures
Descriptive set-theoretical properties of an abstract density operator
Let (ℝ) stand for the hyperspace of all nonempty compact sets on the real line and let d ±(x;E) denote the (right- or left-hand) Lebesgue density of a measurable set E ⊂ ℝ at a point x∈ ℝ. In [3] it was proved that is ⊓11-complete. In this paper we define an abstract density operator ⅅ± and we generalize the above result. Some applications are included.
Desintegration and compact measures.