A Vitali-Hahn-Saks theorem for matrix-valued measures (Q1325294)
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scientific article; zbMATH DE number 572585
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Vitali-Hahn-Saks theorem for matrix-valued measures |
scientific article; zbMATH DE number 572585 |
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A Vitali-Hahn-Saks theorem for matrix-valued measures (English)
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25 May 1994
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The following theorem of Vitali-Hahn-Saks type is proved: If a sequence of matrix-valued measures which are strongly absolutely continuous w.r.t. another matrix-valued measure \(M\), converges on each element of the \(\sigma\)-field, then the limit is also a matrix-valued measure strongly absolutely continuous w.r.t. \(M\).
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Vitali-Hahn-Saks theorem
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strong absolute continuity
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sequence of matrix- valued measures
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