On measure for projectors. II
On a Barrelled Space of Class ... and Measure Theory.
On a class of Hausdorff compact and GSG Banach spaces
On a General Theory of Integration Based On Order.
On a Schröder equation arising in branching processes.
On a summability of observables in generalized measurable spaces
On Alexandrov lattices.
On an Invariant Borel Measure in Hilbert Space
An example of a nonzero σ-finite Borel measure μ with everywhere dense linear manifold of admissible (in the sense of invariance) translation vectors is constructed in the Hilbert space ℓ₂ such that μ and any shift of μ by a vector are neither equivalent nor orthogonal. This extends a result established in [7].
On asymptotic density and uniformly distributed sequences
Assuming Martin's axiom we show that if X is a dyadic space of weight at most continuum then every Radon measure on X admits a uniformly distributed sequence. This answers a problem posed by Mercourakis [10]. Our proof is based on an auxiliary result concerning finitely additive measures on ω and asymptotic density.
On barycentrs in non-compact sets
On Beurling measure algebras
We show how the measure theory of regular compacted-Borel measures defined on the -ring of compacted-Borel subsets of a weighted locally compact group provides a compatible framework for defining the corresponding Beurling measure algebra , thus filling a gap in the literature.
On Borel Automorphisms and Their Quasi-Invariant Measures.
On certain probabilities equivalent to coin-tossing, d'après Schachermayer
On certain probabilities equivalent to Wiener measure, d'après Dubins, Feldman, Smorodinsky and Tsirelson
On certain regularity properties of Haar-null sets
Let X be an abelian Polish group. For every analytic Haar-null set A ⊆ X let T(A) be the set of test measures of A. We show that T(A) is always dense and co-analytic in P(X). We prove that if A is compact then T(A) is dense, while if A is non-meager then T(A) is meager. We also strengthen a result of Solecki and we show that for every analytic Haar-null set A, there exists a Borel Haar-null set B ⊇ A such that T(A)∖ T(B) is meager. Finally, under Martin’s Axiom and the negation of Continuum Hypothesis,...
On certain Wallman spaces.
On compact spaces carrying Radon measures of uncountable Maharam type
If Martin’s Axiom is true and the continuum hypothesis is false, and X is a compact Radon measure space with a non-separable space, then there is a continuous surjection from X onto .
On compact spaces carrying random measures of large Maharam type
On compactness of lattices.
On complex Radon measures. I