A Choquet Ordering and Unique Decompositions in Convex sets of Tight Measures
A noncommutative version of a Theorem of Marczewski for submeasures
It is shown that every monocompact submeasure on an orthomodular poset is order continuous. From this generalization of the classical Marczewski Theorem, several results of commutative Measure Theory are derived and unified.
A noncompact Choquet theorem
A note on strictly positive Radon measures
A note on the extension of weak Radon measures on locally convex spaces to strong Radon measures
A Radon-Nikodym derivative for positive linear functionals
An exact Radon-Nikodym derivative is obtained for a pair (I,J) of positive linear functionals, with J absolutely continuous with respect to I, using a notion of exhaustion of I on elements of a function algebra lattice.
A Remark on a Theorem of Losert.
A simple proof of the Borel extension theorem and weak compactness of operators
Let be a locally compact Hausdorff space and let be the Banach space of all complex valued continuous functions vanishing at infinity in , provided with the supremum norm. Let be a quasicomplete locally convex Hausdorff space. A simple proof of the theorem on regular Borel extension of -valued -additive Baire measures on is given, which is more natural and direct than the existing ones. Using this result the integral representation and weak compactness of a continuous linear map when...
Algebraic genericity of strict-order integrability
We provide sharp conditions on a measure μ defined on a measurable space X guaranteeing that the family of functions in the Lebesgue space (p ≥ 1) which are not q-integrable for any q > p (or any q < p) contains large subspaces of (without zero). This improves recent results due to Aron, García, Muñoz, Palmberg, Pérez, Puglisi and Seoane. It is also shown that many non-q-integrable functions can even be obtained on any nonempty open subset of X, assuming that X is a topological space and...
An Abstract Approach to Weak Topologies in Spaces of Measures
An extension of the Steinhaus-Weil theorem
An Integral in Topological Spaces II.
An Open Mapping Theorem for Measures.
Applications de radonification des mesures compactologiques d'un espace métrique
Applications of outer measures to separation properties of lattices and regular or -smooth measures.
Approximate isometries on bounded sets with an application to measure theory
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.