Second Alexandroff decomposition theorem for topological lattice group valued measures
Second Alexandroff decomposition theorem for topological lattice group valued measures
In Section 3, some particular Alexandroff spaces are defined in a modern terminology and three Alexandroff results (for real set functions) are generalized for ordered topological group valued measures on Alexandroff spaces. In Section 4, an extension of the second Alexandroff decomposition theorem is stated, for topological lattice group valued measures, using some special properties of the order bounded inner regular finitely additive measures. This extension assures also the uniqueness of the decomposition under certain conditions on the Alexandroff space.
group valued measure, ordered topological group, decomposition, Group- or semigroup-valued set functions, measures and integrals, Ordered topological structures, Alexandroff space, Set functions and measures on topological spaces (regularity of measures, etc.), Ordered abelian groups, Riesz groups, ordered linear spaces
group valued measure, ordered topological group, decomposition, Group- or semigroup-valued set functions, measures and integrals, Ordered topological structures, Alexandroff space, Set functions and measures on topological spaces (regularity of measures, etc.), Ordered abelian groups, Riesz groups, ordered linear spaces
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!