Gauge integrals and series
This note contains a simple example which does clearly indicate the differences in the Henstock-Kurzweil, McShane and strong McShane integrals for Banach space valued functions.
Generalisations of -density
Generalizations of Castaing's theorem on selectors
Generalized Herglotz theorem in vector lattices
Generalized Lusin sets with the Blackwell property
Generalizing Hopf and Lax-Oleinik Formulae via Conjugate Integral.
Geometric decomposability properties of probability measures
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...