Lineability issues involving vector-valued measurable and integrable functions (Q2903483)
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scientific article; zbMATH DE number 6064742
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lineability issues involving vector-valued measurable and integrable functions |
scientific article; zbMATH DE number 6064742 |
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10 August 2012
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lineability
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measurable functions
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Lineability issues involving vector-valued measurable and integrable functions (English)
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This paper investigates lineability properties in the context of measurable and integrable functions. More precisely, among other results, the authors construct, over certain Banach spaces:NEWLINENEWLINE(1) infinite-dimensional vector spaces of scalarly measurable functions that are not strongly measurable,NEWLINENEWLINE(2) infinite-dimensional vector spaces of \(w^{\ast}\)-scalarly measurable functions that are not scalarly measurable.
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