Positive measure sets of ergodic rational maps
Positive operator bimeasures and a noncommutative generalization
For C*-algebras A and B and a Hilbert space H, a class of bilinear maps Φ: A× B → L(H), analogous to completely positive linear maps, is studied. A Stinespring type representation theorem is proved, and in case A and B are commutative, the class is shown to coincide with that of positive bilinear maps. As an application, the extendibility of a positive operator bimeasure to a positive operator measure is shown to be equivalent to various conditions involving positive scalar bimeasures, pairs of...
Positive vector measures with given marginals
Suppose is an ordered locally convex space, and Hausdorff completely regular spaces and a uniformly bounded, convex and closed subset of . For , let . Then, under some topological and order conditions on , necessary and sufficient conditions are established for the existence of an element in , having marginals and .
Positivity principle for more concentrated measures.
Possibilistic alternatives of elementary notions and relations of the theory of belief functions
The elementary notions and relations of the so called Dempster–Shafer theory, introducing belief functions as the basic numerical characteristic of uncertainty, are modified to the case when probabilistic measures and basic probability assignments are substituted by possibilistic measures and basic possibilistic assignments. It is shown that there exists a high degree of formal similarity between the probabilistic and the possibilistic approaches including the role of the possibilistic Dempster...
Possibly there is no uniformly completely Ramsey null set of size
We show that under the axiom there is no uniformly completely Ramsey null set of size . In particular, this holds in the iterated perfect set model. This answers a question of U. Darji.
Power weak mixing does not imply multiple recurrence in infinite measure and other counterexamples.
Power weakly mixing infinite transformations.
Powers of positive polynomials and codings of Markov chains onto Bernoulli shifts.
Poznámka k teorii Riemannova integrálu
Poznámka ku konštrukcii miery
Poznámka o délce Jordanovy křivky
Poznámka o -rozmernej miere v
Poznámka o lineární míře Vituškinových množin
Poznámka o řídkých množinách v
Prämessbare Funktionen.
Precompact contraction of metric uniformities, and the continuity of
Predicates and measures on Boolean σ-algebras
Prémesures et mesures sur les espaces compactologiques