Convergence diffuse d'une suite de fonctions
Convergence in incomplete market models.
Convergence of Balayage Measures.
Convergence of Banach lattice valued stochastic processes without the Radon-Nikodym property.
Convergence of conditional expectations
Convergence of conditional expectations for unbounded closed convex random sets
We discuss here several types of convergence of conditional expectations for unbounded closed convex random sets of the form where is a decreasing sequence of sub-σ-algebras and is a sequence of closed convex random sets in a separable Banach space.
Convergence of Continued Fraction Type Algorithms and Generators.
Convergence of moving averages of multiparameter superadditive processes.
Convergence of sequences of real functions with respect to small systems
Convergence of series and submeasures of the set of positive integers
Convergence of the averages and finiteness of ergodic power funtions in weighted L1 spaces.
Let (X, F, μ) be a finite measure space. Let T: X → X be a measure preserving transformation and let Anf denote the average of Tkf, k = 0, ..., n. Given a real positive function v on X, we prove that {Anf} converges in the a.e. sense for every f in L1(v dμ) if and only if infi ≥ 0 v(Tix) > 0 a.e., and the same condition is equivalent to the finiteness of a related ergodic power function Prf for every f in L1(v dμ). We apply this result to characterize, being T null-preserving, the finite...
Convergence of the -series for stationary sequences.
Convergence on vector spaces with -localisation.
Convergence presque sûre de moyennes de sommes de Riemann
Convergence theorems for a Daniell-Loomis integral.
Convergence theorems for Banach space valued integrable multifunctions.
Convergence theorems for measures with values in Riesz spaces
In some recent papers, results of uniform additivity have been obtained for convergent sequences of measures with values in -groups. Here a survey of these results and some of their applications are presented, together with a convergence theorem involving Lebesgue decompositions.
Convergence theorems for set-valued conditional expectations
In this paper we prove two convergence theorems for set-valued conditional expectations. The first is a set-valued generalization of Levy’s martingale convergence theorem, while the second involves a nonmonotone sequence of sub -fields.
Convergence theorems for the Birkhoff integral
We give sufficient conditions for the interchange of the operations of limit and the Birkhoff integral for a sequence of functions from a measure space to a Banach space. In one result the equi-integrability of ’s is involved and we assume almost everywhere. The other result resembles the Lebesgue dominated convergence theorem where the almost uniform convergence of to is assumed.
Convergence theorems for the PU-integral
We give a definition of uniform PU-integrability for a sequence of -measurable real functions defined on an abstract metric space and prove that it is not equivalent to the uniform -integrability.