Tempered Radon measures.
Tensor product of stable measures in Banach spaces of stable type
Tensor product of URM algbras
The action of a semigroup on a space of bounded radon measures.
The Ascoli property for function spaces and the weak topology of Banach and Fréchet spaces
Following Banakh and Gabriyelyan (2016) we say that a Tychonoff space X is an Ascoli space if every compact subset of is evenly continuous; this notion is closely related to the classical Ascoli theorem. Every -space, hence any k-space, is Ascoli. Let X be a metrizable space. We prove that the space is Ascoli iff is a -space iff X is locally compact. Moreover, endowed with the weak topology is Ascoli iff X is countable and discrete. Using some basic concepts from probability theory and...
The Bochner-Kolmogorov extension theorem for semispectral measures
The Bourbaki integral as maximal integral
The cardinality of the set of invariant means on a locally compact topological semigroup
The Cauchy-Riemann operator in infinite dimensional spaces.
The chain rule for differentiable measures
The Choquet integral representation in the affine vector-valued case.
The continuity of subtraction and the Hausdorff property in spaces of Borel measures.
The embeddability of an invertible measure.
The existence of universal invariant measures on large sets
The Finest Nachbin Topology is a Mixed Topology.
The generalized purity law for ergodic measures: a simple proof
The Haar measure of certain sets in the Bohr group
The homology of spaces of simple topological measures
The simple topological measures X* on a q-space X are shown to be a superextension of X. Properties inherited from superextensions to topological measures are presented. The homology groups of various subsets of X* are calculated. For a q-space X, X* is shown to be a q-space. The homology of X* when X is the annulus is calculated. The homology of X* when X is a more general genus one space is investigated. In particular, X* for the torus is shown to have a retract homeomorphic to an infinite product...
The invariance principle for nonstationary sequences of associated random variables
The Laplace transform of measures on the cone of a vector lattice.