On Henstock-Dunford and Henstock-Pettis integrals.
On measure zero sets in topological vector spaces.
On quasi-invariant measures in topological vector spaces.
On Sazonov Type Topology in p-adic Banach Space.
On Some Properties of Effros Borel Structure on Spaces of Closed Subsets.
On the evaluation of one-loop Feynman amplitudes in euclidean quantum field theory
On the finite dimensional orbits of linear operators
On the scooping property of measures by means of disjoint balls
On -porous sets in abstract spaces.
Paracompact Spaces and Radon Spaces
We prove that if E is a subset of a Banach space whose density is of measure zero and such that (E, weak) is a paracompact space, then (E, weak) is a Radon space of type (F ) under very general conditions.
Poincaré inequality for some measures in Hilbert spaces and application to spectral gap for transition semigroups
Radon Measures on Banach Spaces with their Weak Topologies
The main concern of this paper is to present some improvements to results on the existence or non-existence of countably additive Borel measures that are not Radon measures on Banach spaces taken with their weak topologies, on the standard axioms (ZFC) of set-theory. However, to put the results in perspective we shall need to say something about consistency results concerning measurable cardinals.
Relations between Shy Sets and Sets of -Measure Zero in Solovay’s Model
An example of a non-zero non-atomic translation-invariant Borel measure on the Banach space is constructed in Solovay’s model. It is established that, for 1 ≤ p < ∞, the condition "-almost every element of has a property P" implies that “almost every” element of (in the sense of [4]) has the property P. It is also shown that the converse is not valid.
Remarks on integration by parts in infinite dimension
Remarks on Nikodým's boundedness theorem.
Representation of Itô integrals by Lebesgue/Bochner integrals
In [Yong 2004], it was proved that as long as the integrand has certain properties, the corresponding Itô integral can be written as a (parameterized) Lebesgue integral (or a Bochner integral). In this paper, we show that such a question can be answered in a more positive and refined way. To do this, we need to characterize the dual of the Banach space of some vector-valued stochastic processes having different integrability with respect to the time variable and the probability measure. The later...
Representation of vector measures.
Rotation-invariant operators on white noise functional.
Smooth measures, the Malliavin calculus and approximations in infinitedimensional spaces
Spectral trajectories,duality and inductive-projective limits of Hilbert spaces