Convergence theorems for generalized projections and maximal monotone operators in Banach spaces.
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 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.
Convergences de séries dans les espaces d'Orlicz
Convergencia local de filtros en espacios localmente convexos.
Convergency of the fuzzy vectors in the pseudo-fuzzy vector space over .
Convergent and Bounded Cesàro Sections in FK-Spaces.
Convergenza debole di misure su spazi di funzioni semicontinue
Given a complete and separable metric space , we study the weak convergence of sequences of measures defined on the space of all real-valued lower semicontinuous functions on as well as on the space of all closed subsets of .
Convex analysis for sets of local martingales measures
Convex combinations of commuting affine operators
Convex combinations of unitaries in -algebras.
Convex Compactness Property in Certain Spaces of Measures.
Convex cones and convex sets
Convex cones in finite-dimensional real vector spaces
Convex Corson compacta and Radon measures
Assuming the continuum hypothesis, we show that (i) there is a compact convex subset L of , and a probability Radon measure on L which has no separable support; (ii) there is a Corson compact space K, and a convex weak*-compact set M of Radon probability measures on K which has no -points.
Convex Functions on Dual Systems.
Convex functions with non-Borel set of Gâteaux differentiability points
We show that on every nonseparable Banach space which has a fundamental system (e.gȯn every nonseparable weakly compactly generated space, in particular on every nonseparable Hilbert space) there is a convex continuous function such that the set of its Gâteaux differentiability points is not Borel. Thereby we answer a question of J. Rainwater (1990) and extend, in the same time, a former result of M. Talagrand (1979), who gave an example of such a function on .
Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups
In this paper, we generalize to sub-Riemannian Carnot groups some classical results in the theory of minimal submanifolds. Our main results are for step 2 Carnot groups. In this case, we will prove the convex hull property and some “exclosure theorems” for H-minimal hypersurfaces of class C2 satisfying a Hörmander-type condition.
Convex inequalities and the Hahn-Banach Theorem [Book]
Convex sets and Harnack inequality