Mackey continuity of characteristic functionals.
Martingales and arbitrage: a new look.
Mean quadratic convergence of signed random measures
We consider signed Radon random measures on a separable, complete and locally compact metric space and study mean quadratic convergence with respect to vague topology on the space of measures. We prove sufficient conditions in order to obtain mean quadratic convergence. These results are based on some identification properties of signed Radon measures on the product space, also proved in this paper.
Measurability of real functions defined on the product of metric spaces
Measurability of sections for maps representing certain measures.
Measurable Functions and Almost Continuous Functions.
Measure and topology: Mařík spaces
This is an expository paper on Jan Marik's result concerning an extension of a Baire measure to a Borel measure.
Measure characterization and properties of normal and regular lattices.
Measure determining classes of balls in Banach spaces.
Measure Spaces Connected by Correspondences.
Measure Theoretic Zero Sets in Infinite Dimensional Spaces and Applications to Differentiability of Lip-Schitz Mappings
Measures and Markov processes on function spaces
Measures on coallocation and normal lattices.
Measures on compact HS spaces
We construct two examples of a compact, 0-dimensional space which supports a Radon probability measure whose measure algebra is isomorphic to the measure algebra of . The first construction uses ♢ to produce an S-space with no convergent sequences in which every perfect set is a . A space with these properties must be both hereditarily normal and hereditarily countably paracompact. The second space is constructed under CH and is both HS and HL.
Measures on Corson compact spaces
We prove that the statement: "there is a Corson compact space with a non-separable Radon measure" is equivalent to a number of natural statements in set theory.
Measures on groups with given projections
Measures on Product Spaces and the Existence of Strong Baire Liftings.
Measures representable as -dimensional Hausdorff measures
Measures which agree on balls.
Measure-Theoretic Characterizations of Certain Topological Properties
It is shown that Čech completeness, ultracompleteness and local compactness can be defined by demanding that certain equivalences hold between certain classes of Baire measures or by demanding that certain classes of Baire measures have non-empty support. This shows that these three topological properties are measurable, similarly to the classical examples of compact spaces, pseudo-compact spaces and realcompact spaces.