Filter convergence of vector lattice-valued measures is considered, in order to deduce
theorems of convergence for their decompositions. First the σ-additive case is studied …

SCHUR LEMMA AND LIMIT THEOREMS IN LATTICE GROUPS WITH RESPECT TO FILTERS
1. Introduction Page 1 ÓDOI: 10.2478/s12175-012-0070-5 Math. Slovaca 62 (2012), No. 6 …

Some types of compactness in the ideal context are defined and relations between ideal
exhaustiveness and equicontinuity of measures are investigated. As applications, some …

Some versions of limit and Dieudonné-type theorems with respect to filter convergence for (l)-group-valued
measures Page 1 Cent. Eur. J. Math. • 9(6) • 2011 • 1298-1311 DOI: 10.2478/s11533-011-0083-2 …

We study ideals I on N satisfying the following Baire-type property: if X is a complete metric
space and {XA: A∈ I} is a family of nowhere dense subsets of X with XA⊂ XB whenever A⊂ …

We investigate some properties of lattice group-valued positive, monotone and k-
subadditive set functions, and in particular, we give some comparisons between regularity …

For a non-isolated point $ x $ of a topological space $ X $ the network character $ nw_\chi
(x) $ is the smallest cardinality of a family of infinite subsets of $ X $ such that each …

Some new types of limit theorems for topological group-valued measures are proved in the
context of filter convergence for suitable classes of filters. We investigate (s)-boundedness, σ …

We investigate some of the main properties of lattice group-valued k-triangular set functions
and we prove some Brooks–Jewett, Nikodým, Vitali–Hahn–Saks and Schur-type theorems …

We study those filters F on N for which weak F-convergence of bounded sequences in C (K)
is equivalent to point-wise F-convergence. We show that it is sufficient to require this …