On the uniqueness of Lebesgue and Borel measures.
On the uniqueness of maximal operators for ergodic flows.
The uniqueness theorem for the ergodic maximal operator is proved in the continous case.
On the uniqueness of the ergodic maximal function
It is proved that the ergodic maximal operator is one-to-one.
On the uniqueness of the uncentered ergodic maximal function
It is shown that if two functions share the same uncentered (two-sided) ergodic maximal function, then they are equal almost everywhere.
On the uniqueness property for products of symmetric invariant probability measures.
On the Weak Isomorphism of Strictly Ergodic Homeomorphisms.
On topological ergodic measure spaces.
On transformations of sets in
On uniqueness of G-measures and g-measures
We give a simple proof of the sufficiency of a log-lipschitzian condition for the uniqueness of G-measures and g-measures which were studied by G. Brown, A. H. Dooley and M. Keane. In the opposite direction, we show that the lipschitzian condition together with positivity is not sufficient. In the special case where the defining function depends only upon two coordinates, we find a necessary and sufficient condition. The special case of Riesz products is discussed and the Hausdorff dimension of...
On Unitary Operators Inducing Measure-Preserving Transformations.
On Vitali's theorem for groups of motions of Euclidean space.
On Weak Convergence of Norm Preserving Operators on L2 (X) and its Application to Measure Preserving Transformations.
On weighted inequalities for ergodic operators
On -invariant measures and a functional equation