arXiv subjects

Ondrej Hutník

Publications and source records attributed to Ondrej Hutník.

20 records · Page 2Linked to original sources

arXiv2011

On vector-valued Dobrakov submeasures

Ivan Dobrakov has initiated a theory of non-additive set functions defined on a ring of sets intended to be a non-additive generalization of the theory of finite non-negative countably additive measures. These set functions are now known as the Dobrakov submeasures. In this paper we extend Dobrakov's considerations to vector-valued submeasures defined on a ring of sets. The extension of such submeasures in the sense of Drewnowski is also given.

math.FA↗

arXiv2011

The Egoroff Theorem for Operator-Valued Measures in Locally Convex Spaces

The Egoroff theorem for measurable $\bold X$-valued functions and operator-valued measures $\bold m: Σ\to L(\bold X, \bold Y)$, where $Σ$ is a $σ$-algebra of subsets of $T \neq \emptyset$ and $\bold X$, $\bold Y$ are both locally convex spaces, is proved. The measure is supposed to be atomic and the convergence of functions is net.

math.FA↗