EuDML | Browse

The search session has expired. Please query the service again.

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1 Next

Displaying 1 – 20 of 23

Calculating norms in the spaces $ℓ^{\infty} (Γ) / c_{0} (Γ)$ and $ℓ^{\infty} (Γ) / c (Γ)$ .

Sznajder, Roman (1998)

International Journal of Mathematics and Mathematical Sciences

Caractérisation des simplexes par des propriétés portant sur les faces fermées et sur les ensembles compacts de points extremaux.

Marc Rogalski (1971)

Mathematica Scandinavica

Cardinality of some convex sets and of their sets of extreme points

Zbigniew Lipecki (2011)

Colloquium Mathematicae

We show that the cardinality of a compact convex set W in a topological linear space X satisfies the condition that $^{ℵ ₀} =$ . We also establish some relations between the cardinality of W and that of extrW provided X is locally convex. Moreover, we deal with the cardinality of the convex set E(μ) of all quasi-measure extensions of a quasi-measure μ, defined on an algebra of sets, to a larger algebra of sets, and relate it to the cardinality of extrE(μ).

Characterizations of ultrabarrelledness and barrelledness involving the singularities of families of convex mappings.

Wolfgang W. Breckner (1996)

Manuscripta mathematica

Choquet simplexes whose set of extreme points is $K$ -analytic

Michel Talagrand (1985)

Annales de l'institut Fourier

We construct a Choquet simplex $K$ whose set of extreme points $T$ is $𝒦$ -analytic, but is not a $𝒦$ -Borel set. The set $T$ has the surprising property of being a $K_{σ δ}$ set in its Stone-Cech compactification. It is hence an example of a $K_{σ δ}$ set that is not absolute.

Choquet theory in metric spaces.

Okon, T. (2000)

Zeitschrift für Analysis und ihre Anwendungen

Choquetova teorie a Dirichletova úloha

Jaroslav Lukeš, Ivan Netuka, Jiří Veselý (2000)

Pokroky matematiky, fyziky a astronomie

Choquetsimplexe und nukleare Räume.

Gerd Wittstock (1971/1972)

Inventiones mathematicae

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

Michel Talagrand (1982)

Annales de l'institut Fourier

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 tools used there...

Compactness and extreme points of the set of quasi-measure extensions of a quasi-measure [Book]

Zbigniew Lipecki (2013)

Complex Strict Convexity of Certain Banach Spaces.

J.E. Jamison, Irene Loomis, C.C. Rousseau (1985)

Monatshefte für Mathematik

Concerning interior mapping theorem

Marián J. Fabián (1979)

Commentationes Mathematicae Universitatis Carolinae

Cônes asymptotes d'ensembles non convexes

Jean-Pierre Dedieu (1979)

Mémoires de la Société Mathématique de France

Cones of Lower Semicontinuous Functions and a Characterisation of Finely Hyperharmonic Functions.

Terry J. Lyons (1982)

Mathematische Annalen

Continuous Position and Existence Sets.

M. van de Vel (1988)

Mathematische Annalen

Continuous version of the Choquet integral representation theorem

Piotr Puchała (2005)

Studia Mathematica

Let E be a locally convex topological Hausdorff space, K a nonempty compact convex subset of E, μ a regular Borel probability measure on E and γ > 0. We say that the measure μ γ-represents a point x ∈ K if $s u p_{| | f | | \leq 1} | f (x) - \int_{K} f d μ | < γ$ for any f ∈ E*. In this paper a continuous version of the Choquet theorem is proved, namely, if P is a continuous multivalued mapping from a metric space T into the space of nonempty, bounded convex subsets of a Banach space X, then there exists a weak* continuous family $(μ_{t})$ of regular Borel...

Currently displaying 1 – 20 of 23

Page 1 Next

Displaying 1 – 20 of 23

Calculating norms in the spaces $ℓ^{\infty} (Γ) / c_{0} (Γ)$ and $ℓ^{\infty} (Γ) / c (Γ)$ .

Caractérisation des simplexes par des propriétés portant sur les faces fermées et sur les ensembles compacts de points extremaux.

Cardinality of some convex sets and of their sets of extreme points

Characterizations of ultrabarrelledness and barrelledness involving the singularities of families of convex mappings.

Choquet simplexes whose set of extreme points is $K$ -analytic

Choquet theory in metric spaces.

Choquetova teorie a Dirichletova úloha

Choquetsimplexe und nukleare Räume.

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

Compactness and extreme points of the set of quasi-measure extensions of a quasi-measure [Book]

Complex Strict Convexity of Certain Banach Spaces.

Concerning interior mapping theorem

Cônes asymptotes d'ensembles non convexes

Cones of Lower Semicontinuous Functions and a Characterisation of Finely Hyperharmonic Functions.

Continuous Position and Existence Sets.

Continuous version of the Choquet integral representation theorem

Convex analysis for sets of local martingales measures

Convex cones and convex sets

Convex sets and Harnack inequality

Convexity and Reflexivity

Currently displaying 1 – 20 of 23