Add to ORKGWe study pointwise convergence properties of weakly* converging sequences {ui}i∈N in BV(Rn). We show that, after passage to a suitable subsequence (not relabeled), we have pointwise convergence u∗i(x)→u∗(x) of the precise representatives for all x∈Rn∖E, where the exceptional set E⊂Rn has on the one hand Hausdorff dimension at most n−1, and is on the other hand also negligible with respect to the Cantor part of |Du|. Furthermore, we discuss the optimality of these results
In this paper we show that if the supremal functional F(V,B) = ess sup x∈B f(x, DV (x)) is sequentia...
AbstractIn this work wome connections are pursued between weak and strong convergence in the spaces ...
AbstractIn 1883 Arzelà (1983/1984) [2] gave a necessary and sufficient condition via quasi-uniform c...
We study pointwise convergence properties of weakly* converging sequences {ui}i∈N in BV(Rn). We show...
We show that if a Banach spaceX is weakly compactly generated and C, Cn are weak-star-closed bounded...
We introduce an abstract treatment of the weak convergence for bounded monotone set functions which ...
AbstractFor every weakly statistically convergent sequence (xn) with increasing norms in a Hilbert s...
all strictly increasing sequences in A converging to a and the set of all strictly decreasing sequen...
Uniform convergence for continuous real functions sequences preserves continuity of the limit of suc...
summary:In this paper we analyze relations among several types of convergences of bounded sequences,...
A sufficient and necessary condition for weak convergence of sequences in a class of Banach sequence...
Abstract. We show a series of improved subseries convergence results, e.g., in a sequentially comple...
We give necessary and sufficient conditions for sequences in the space AP(R) of continuous almost pe...
AbstractA sequence {fn} of strongly measurable functions taking values in a Banach space X is scalar...
AbstractUsing a theorem of Kadets, we construct on an arbitrary infinite dimensional Banach space X ...
In this paper we show that if the supremal functional F(V,B) = ess sup x∈B f(x, DV (x)) is sequentia...
AbstractIn this work wome connections are pursued between weak and strong convergence in the spaces ...
AbstractIn 1883 Arzelà (1983/1984) [2] gave a necessary and sufficient condition via quasi-uniform c...
We study pointwise convergence properties of weakly* converging sequences {ui}i∈N in BV(Rn). We show...
We show that if a Banach spaceX is weakly compactly generated and C, Cn are weak-star-closed bounded...
We introduce an abstract treatment of the weak convergence for bounded monotone set functions which ...
AbstractFor every weakly statistically convergent sequence (xn) with increasing norms in a Hilbert s...
all strictly increasing sequences in A converging to a and the set of all strictly decreasing sequen...
Uniform convergence for continuous real functions sequences preserves continuity of the limit of suc...
summary:In this paper we analyze relations among several types of convergences of bounded sequences,...
A sufficient and necessary condition for weak convergence of sequences in a class of Banach sequence...
Abstract. We show a series of improved subseries convergence results, e.g., in a sequentially comple...
We give necessary and sufficient conditions for sequences in the space AP(R) of continuous almost pe...
AbstractA sequence {fn} of strongly measurable functions taking values in a Banach space X is scalar...
AbstractUsing a theorem of Kadets, we construct on an arbitrary infinite dimensional Banach space X ...
In this paper we show that if the supremal functional F(V,B) = ess sup x∈B f(x, DV (x)) is sequentia...
AbstractIn this work wome connections are pursued between weak and strong convergence in the spaces ...
AbstractIn 1883 Arzelà (1983/1984) [2] gave a necessary and sufficient condition via quasi-uniform c...