Representation of linear functionals on quasi-continuous functions (Q1047482)
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scientific article; zbMATH DE number 5652545
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Representation of linear functionals on quasi-continuous functions |
scientific article; zbMATH DE number 5652545 |
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Representation of linear functionals on quasi-continuous functions (English)
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4 January 2010
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The authors use a modified mean Stieltjes integral defined on a dense subset of a closed interval whose endpoints belong to the dense subset. They proves a representation theorem for bounded linear functionals with domain the set of all real-valued, quasi-continuous functions defined on a closed interval; thus, giving a characterization of a class of bounded linear functionals.
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quasi-continuous functions
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regulated functions
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Stieltjes integral
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0.9524433
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0.95034933
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0.91336286
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0.9131894
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0.9109315
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0.90600485
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