Density of a family of linear varietes

Grazia Raguso; Luigia Rella

Displaying similar documents to “Density of a family of linear varietes”

On a family of varieties not satisfying Stoka's measurability condition

Leonardo Cirlincione (1983)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Similarity:

On the measurability of sets of pairs of intersecting nonisotropic straight lines of type beta in the simply isotropic space

Adrijan Varbanov Borisov, Margarita Georgieva Spirova (2009)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Similarity:

The measurable sets of pairs of intersecting non-isotropic straight lines of type $β$ and the corresponding densities with respect to the group of general similitudes and some its subgroups are described. Also some Crofton-type formulas are presented.

Negative nonsingular transformations

Christoph Kopf (1982)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

Closed convex hull of set of measurable functions, Riemann-measurable functions and measurability of translations

Michel Talagrand (1982)

Annales de l'institut Fourier

Similarity:

Let $G$ be a locally compact group. Let $L_{t}$ be the left translation in $L^{\infty} (G)$ , given by $L_{t} f (x) = f (t x)$ . We characterize (undre a mild set-theoretical hypothesis) the functions $f \in L^{\infty} (G)$ such that the map $t \to L_{t} f$ from $G$ into $L^{\infty} (G)$ is scalarly measurable (i.e. for $φ \in L^{\infty} (G)^{*}$ , $t \to φ (L_{t} f)$ is measurable). We show that it is the case when $t \to θ (L_{f} t)$ is measurable for each character $θ$ , and if $G$ is compact, if and only if $f$ is Riemann-measurable. We show that $t \to L_{t} f$ is Borel measurable if and only if $f$ is left uniformly continuous. Some of the measure-theoretic...

Product liftings and densities with lifting invariant and density invariant sections

Kazimierz Musiał, W. Strauss, N. Macheras (2000)

Fundamenta Mathematicae

Similarity:

Given two measure spaces equipped with liftings or densities (complete if liftings are considered) the existence of product liftings and densities with lifting invariant or density invariant sections is investigated. It is proved that if one of the marginal liftings is admissibly generated (a subclass of consistent liftings), then one can always find a product lifting which has the property that all sections determined by one of the marginal spaces are lifting invariant (Theorem 2.13)....