Compactness and other questions in spaces of uniform measures
Compactness and Tightness in a Space of Measures with the Topology of Weak Convergence.
Compactness in spaces of uniform measures (Preliminary communication)
Compactness in the sense of the convergence with respect to a small system
Compactness of the integration operator associated with a vector measure
A characterization is given of those Banach-space-valued vector measures m with finite variation whose associated integration operator Iₘ: f ↦ ∫fdm is compact as a linear map from L¹(m) into the Banach space. Moreover, in every infinite-dimensional Banach space there exist nontrivial vector measures m (with finite variation) such that Iₘ is compact, and other m (still with finite variation) such that Iₘ is not compact. If m has infinite variation, then Iₘ is never compact.
Compactness of trajectories of dynamical systems in complete uniform spaces
Compactness properties of the integration mapassociated with a vector measure
Compactness properties of vector-valued integration maps in locally convex spaces
Compacts de fonctions de première classe
Compacts de fonctions mesurables et filtres non mesurables
Comparability and conditional maximality of measures supported by finite sets of real numbers
Comparability of Borel probability measures on euclidean line
Comparaison de deux notions de dimension
Comparing measure theoretic entropy for -finite measures with topological entropy
Comparing quantum dynamical entropies
Last years, the search for a good theory of quantum dynamical entropy has been very much intensified. This is not only due to its usefulness in quantum probability but mainly because it is a very promising tool for the theory of quantum chaos. Nowadays, there are several constructions which try to fulfill this need, some of which are more mathematically inspired such as CNT (Connes, Narnhofer, Thirring), and the one proposed by Voiculescu, others are more inspired by physics such as ALF (Alicki,...
Comparison between criteria leading to the weak invariance principle
The aim of this paper is to compare various criteria leading to the central limit theorem and the weak invariance principle. These criteria are the martingale-coboundary decomposition developed by Gordin in Dokl. Akad. Nauk SSSR188 (1969), the projective criterion introduced by Dedecker in Probab. Theory Related Fields110 (1998), which was subsequently improved by Dedecker and Rio in Ann. Inst. H. Poincaré Probab. Statist.36 (2000) and the condition introduced by Maxwell and Woodroofe in Ann. Probab.28...
Comparison of Hausdorff measures with respect to the Euclidean and the Heisenberg metric.
We compare the Hausdorff measures and dimensions with respect to the Euclidean and Heisenberg metrics on the first Heisenberg group. The result is a dimension jump described by two inequalities. The sharpness of our estimates is shown by examples. Moreover a comparison between Euclidean and H-rectifiability is given.
Compensation couples and isoperimetric estimates for vector fields
Complementation in the lattice of Borel structures