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arXiv · 1101.4708

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

Ján Haluška·Ondrej Hutník
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Abstract

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.

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BibTeXRIS

Ján Haluška, Ondrej Hutník. 2011-01-25. The Egoroff Theorem for Operator-Valued Measures in Locally Convex Spaces. https://arxiv.org/abs/1101.4708

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