A change of scale formula for Wiener integrals of cylinder functions on the abstract Wiener space. II.
A change of scale formula for Wiener integrals of cylinder functions on abstract Wiener space.
A Characterization of the Banach Spaces of Type p by Lévy Measures.
A Choquet Ordering and Unique Decompositions in Convex sets of Tight Measures
A concept of measurability for the Daniell integral
A conjecture of Ulam on the invariance of measures in Gilbert's cube
A Decomposition Theorem for Additive Set-Functions, with Applications to Pettis Integrals and Ergodic Means.
A general approach to decomposable bi-capacities
We propose a concept of decomposable bi-capacities based on an analogous property of decomposable capacities, namely the valuation property. We will show that our approach extends the already existing concepts of decomposable bi-capacities. We briefly discuss additive and -additive bi-capacities based on our definition of decomposability. Finally we provide examples of decomposable bi-capacities in our sense in order to show how they can be constructed.
A general purity law for convolution semigroups with discrete Levy measure.
A Generalization of Folner's Condition.
A Generalization of the Strict Topology.
A generalized -porous set with a small complement.
A Lebesgue decomposition for elements in a topological group.
A method of construction of an invariant measure
A method of construction of an invariant measure on a function space is presented.
A new result of G. A. Edgar on representing points in a convex bounded subset of Banach spaces with the Radon-Nikodym property as barycentres of Radon 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 Carathéodory type function
A note on integral representation of Feller kernels
We consider integral representations of Feller probability kernels from a Tikhonov space X into a Hausdorff space Y by continuous functions from X into Y. From the existence of such a representation for every kernel it follows that the space X has to be 0-dimensional. Moreover, both types of representations coincide in the metrizable case when in addition X is compact and Y is complete. It is also proved that the representation of a single kernel is equivalent to the existence of some non-direct...
A note on intersections of non-Haar null sets
We show that in every Polish, abelian, non-locally compact group G there exist non-Haar null sets A and B such that the set {g ∈ G; (g+A) ∩ B is non-Haar null} is empty. This answers a question posed by Christensen.