Fields with analytic structure
Group valued, α-additive set functions
Group-valued measures on coarse-grained quantum logics
In it was shown that a (real) signed measure on a cyclic coarse-grained quantum logic can be extended, as a signed measure, over the entire power algebra. Later () this result was re-proved (and further improved on) and, moreover, the non-negative measures were shown to allow for extensions as non-negative measures. In both cases the proof technique used was the technique of linear algebra. In this paper we further generalize the results cited by extending group-valued measures on cyclic coarse-grained...
Ideal convergence and divergence of nets in -groups
In this paper we introduce the - and -convergence and divergence of nets in -groups. We prove some theorems relating different types of convergence/divergence for nets in -group setting, in relation with ideals. We consider both order and -convergence. By using basic properties of order sequences, some fundamental properties, Cauchy-type characterizations and comparison results are derived. We prove that -convergence/divergence implies -convergence/divergence for every ideal, admissible for...
Konvergenzsaetze fur ein voll Daniell-integral
Lattice uniformities on orthomodular structures
Medidas y probabilidades en estructuras ordenadas.
This paper is concerned with lattice-group valued measures for which the sygma-additivity is defined by means of the order convergence properties. In the first section we treat the analogues for such order-measures with values in a Dedekind complete lattice-group of the Jordan, Lebesgue and Yosida-Hewitt descompositions. The second section deals with the construction of an integral for functions with respect to an order-measure, both taking their values in a Dedekind sygma-complete lattice-ring....
Metric properties of positively ordered monoids.
Modular functions on multilattices
We prove that every modular function on a multilattice with values in a topological Abelian group generates a uniformity on which makes the multilattice operations uniformly continuous with respect to the exponential uniformity on the power set of .
Monoidwertige Integrale
Note on semigroup valued measures
N-Semigroups as codomain of measures.
On compact group-valued measures
On continuity of group homomorphisms
On extension of group valued measures
On extension of maps with values in ordered spaces
On integration in Banach spaces, VII
On measures and integrals with values in ordered groups
On Stone-type extensions for group-valued measures
On systems of null sets
The collection of all sets of measure zero for a finitely additive, group-valued measure is studied and characterised from a combinatorial viewpoint.