An Open Mapping Theorem for Measures.
Application de la théorie des algèbres de mesures à l'étude des mesures spectrales.
Applications de radonification des mesures compactologiques d'un espace métrique
Applications of the Kantorovich-Rubinstein maximum principle in the theory of Markov semigroups [Book]
Approximating Radon measures on first-countable compact spaces
The assertion every Radon measure defined on a first-countable compact space is uniformly regular is shown to be relatively consistent. We prove an analogous result on the existence of uniformly distributed sequences in compact spaces of small character. We also present two related examples constructed under CH.
Asimptotic Distribution and Weak Convergence on Compact Riemannian Manifolds.
Asymptotic periodicity of Markov operators on signed measures
A new criterion of asymptotic periodicity of Markov operators on , established in [3], is extended to the class of Markov operators on signed measures.
Asymptotic stability of a linear Boltzmann-type equation
We present a new necessary and sufficient condition for the asymptotic stability of Markov operators acting on the space of signed measures. The proof is based on some special properties of the total variation norm. Our method allows us to consider the Tjon-Wu equation in a linear form. More precisely a new proof of the asymptotic stability of a stationary solution of the Tjon-Wu equation is given.
Baire category in spaces of probability measures, II
Barrelledness of the Space of Vector Valued and Simple Functions.
Caractérisation des mesures qui intègrent toutes les fonctions réelles mesurables
Cardinality of some convex sets and of their sets of extreme points
We show that the cardinality of a compact convex set W in a topological linear space X satisfies the condition that . 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).
Compactness and extreme points of the set of quasi-measure extensions of a quasi-measure [Book]
Compactness and other questions in spaces of uniform measures
Completeness of the space of separable measures in the Kantorovich-Rubinshtein metric.
Cone-constrained linear equations in Banach spaces.
Continuity Properties of the Extension of a Locally Lipschitz Continuous Map to the Space of Probability Measures.
Convergence diffuse d'une suite de fonctions
Countable tightness in the spaces of regular probability measures
We prove that if K is a compact space and the space P(K × K) of regular probability measures on K × K has countable tightness in its weak* topology, then L₁(μ) is separable for every μ ∈ P(K). It has been known that such a result is a consequence of Martin's axiom MA(ω₁). Our theorem has several consequences; in particular, it generalizes a theorem due to Bourgain and Todorčević on measures on Rosenthal compacta.
Criterios de convergencia de medidas de conjuntos Riemann integrables.