Über die Zerlegung von Operatoren in topologischen direkten Integralen von Hilberträumen.
Un exemple d'une fonction sup-mesurable qui n'est pas mesurable
Une notion générale de convergence faible pour des fonctions croissantes d'ensemble
Uniformity in weak convergence with respect to balls in Banach spaces.
Uniqueness of measure extensions in Banach spaces
Let X be a Banach space, a norming set and (X,B) the topology on X of pointwise convergence on B. We study the following question: given two (non-negative, countably additive and finite) measures μ₁ and μ₂ on Baire(X,w) which coincide on Baire(X,(X,B)), does it follow that μ₁ = μ₂? It turns out that this is not true in general, although the answer is affirmative provided that both μ₁ and μ₂ are convexly τ-additive (e.g. when X has the Pettis Integral Property). For a Banach space Y not containing...
Upper integral and its geometric meaning
Weak convergence of monotone functions and Weyl's criterion
Weak Convergence of Vector Measures on F-Space.
Weak integrals defined on Euclidean n-space
Weak limit of measures that is not a pointwise limit on compact sets
Weakly compactly generated Frechet spaces.
What’s the price of a nonmeasurable set?
In this note, we prove that the countable compactness of together with the Countable Axiom of Choice yields the existence of a nonmeasurable subset of . This is done by providing a family of nonmeasurable subsets of whose intersection with every non-negligible Lebesgue measurable set is still not Lebesgue measurable. We develop this note in three sections: the first presents the main result, the second recalls known results concerning non-Lebesgue measurability and its relations with the Axiom...
-convergence.
Замечания о слабой бикомпактности сети положительных мер
Измеримость супремума и реализующей его функции
Метрические пространства и продолжение отображений
Некоторые свойства нормального изображения выпуклых функций
О безусловной сходимости в пространстве
О кoнcтpуктивнoм aнaлoгe однoй тeopemы Лузина
О конструктивном аналоге cвязи измepимocти множеств и функций пo Лeбeгу