A Choquet Ordering and Unique Decompositions in Convex sets of Tight Measures
A new approach to Young measure theory, relaxation and convergence in energy
A refinement of Ball's theorem on Young measures.
A Remark on the Multidimensional Moment Problem.
A space of Vector-Valued measures and a strict topology.
Addendum to "Lineability and spaceability of vector-measure spaces" (Studia Math. 219 (2013), 155-161)
An Abstract Approach to Weak Topologies in Spaces of Measures
Applications de radonification des mesures compactologiques d'un espace métrique
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.
Canonical Banach function spaces generated by Urysohn universal spaces. Measures as Lipschitz maps
It is proved (independently of the result of Holmes [Fund. Math. 140 (1992)]) that the dual space of the uniform closure of the linear span of the maps x ↦ d(x,a) - d(x,b), where d is the metric of the Urysohn space of diameter r, is (isometrically if r = +∞) isomorphic to the space of equivalence classes of all real-valued Lipschitz maps on . The space of all signed (real-valued) Borel measures on is isometrically embedded in the dual space of and it is shown that the image of the embedding...
Compacity in narrow limit tower spaces.
Complete duals of C*(X).
Completeness of the space of separable measures in the Kantorovich-Rubinshtein metric.
Continuous linear functionals on the space of Borel vector measures
We study properties of the space ℳ of Borel vector measures on a compact metric space X, taking values in a Banach space E. The space ℳ is equipped with the Fortet-Mourier norm and the semivariation norm ||·||(X). The integral introduced by K. Baron and A. Lasota plays the most important role in the paper. Investigating its properties one can prove that in most cases the space is contained in but not equal to the space (ℳ,||·||(X))*. We obtain a representation of the continuous functionals on...
Convergence diffuse d'une suite de fonctions
Convergenza debole di misure su spazi di funzioni semicontinue
Given a complete and separable metric space , we study the weak convergence of sequences of measures defined on the space of all real-valued lower semicontinuous functions on as well as on the space of all closed subsets of .
Convex Compactness Property in Certain Spaces of Measures.
Convex Corson compacta and Radon measures
Assuming the continuum hypothesis, we show that (i) there is a compact convex subset L of , and a probability Radon measure on L which has no separable support; (ii) there is a Corson compact space K, and a convex weak*-compact set M of Radon probability measures on K which has no -points.
Copies of in the space of Pettis integrable functions with integrals of finite variation
Let (Ω,Σ,μ) be a complete finite measure space and X a Banach space. We show that the space of all weakly μ-measurable (classes of scalarly equivalent) X-valued Pettis integrable functions with integrals of finite variation, equipped with the variation norm, contains a copy of if and only if X does.
Correction to the paper ’Copies of in the space of Pettis integrable functions with integrals of finite variation’ (Studia Math. 210 (2012), 93-98)