Title: The Egoroff Theorem for Operator-Valued Measures in Locally Convex Spaces
Abstract: The Egoroff theorem for measurable X-valued functions and operator-valued measures m : Σ → L(X,Y), where Σ is a σ-algebra of subsets of T 6= ∅ and X, Y are both locally convex spaces, is proved. The measure is supposed to be atomic and the convergence of functions is net.
Publication Year: 2015
Publication Date: 2015-01-01
Language: en
Type: article
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