Pseudointegral operators in the spaces of measurable vector-valued functions (Q803522)
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scientific article; zbMATH DE number 4201003
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pseudointegral operators in the spaces of measurable vector-valued functions |
scientific article; zbMATH DE number 4201003 |
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Pseudointegral operators in the spaces of measurable vector-valued functions (English)
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1990
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The author proves that a linear majorizable operator T acting in a space of measurable vector functions admits a weak pseudo-integral representation if and only if T is 0-continuous or, equivalently, if and only if \(| T|\) admits a pseudo-integral representation. Applications of this test are also indicated.
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linear majorizable operator
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space of measurable vector functions
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pseudo-integral representation
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