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Order Properties of the Space of Finitely Additive Transition Functions

Gutman, A. E. Sotnikov, A. I.

Published in Siberian Mathematical Journal

The basic order properties, as well as some metric and algebraic properties, are studied of the set of finitely additive transition functions on an arbitrary measurable space, as endowed with the structure of an ordered normed algebra, and some connections are revealed with the classical spaces of linear operators, vector measures, and measurable v...

Gamma-Compactification of Measurable Spaces

Zhdanok, A. I.

Published in Siberian Mathematical Journal

We define the gamma-compactification of an arbitrary measurable space and study its structure and properties in the general and topological cases. We introduce and study the notion of gamma-extension of a singleton in a topological space. We consider the procedure of extension of finitely additive measures from the original space to regular countab...

Publication search with purely finitely additive measure as keyword

Order Properties of the Space of Finitely Additive Transition Functions

Gamma-Compactification of Measurable Spaces

Publication search
with purely finitely additive measure as keyword