13 research outputs found
Decompositions of Measures on Pseudo Effect Algebras
Recently in \cite{Dvu3} it was shown that if a pseudo effect algebra
satisfies a kind of the Riesz Decomposition Property ((RDP) for short), then
its state space is either empty or a nonempty simplex. This will allow us to
prove a Yosida-Hewitt type and a Lebesgue type decomposition for measures on
pseudo effect algebra with (RDP). The simplex structure of the state space will
entail not only the existence of such a decomposition but also its uniqueness
Measure-theoretic characterizations of certain topological properties
It is shown that Cech completeness, ultra completeness and local compactness can be defined by demanding that certain equivalences hold between certain lasses of Baire measures or by demanding that certain lasses of Baire measures have non-empty support. This shows that these three topological properties are measurable, similarly to the classical examples of compact spaces, pseudo-compact spaces and real compact spaces.peer-reviewe
EQUADIFF 15
Equadiff 15 – Conference on Differential Equations and Their Applications – is an international conference in the world famous series Equadiff running since 70 years ago. This booklet contains conference materials related with the 15th Equadiff conference in the Czech and Slovak series, which was held in Brno in July 2022. It includes also a brief history of the East and West branches of Equadiff, abstracts of the plenary and invited talks, a detailed program of the conference, the list of participants, and portraits of four Czech and Slovak outstanding mathematicians