The Riesz aspects of \(\chi^2\) sequence spaces (Q2853296)
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scientific article; zbMATH DE number 6217237
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Riesz aspects of \(\chi^2\) sequence spaces |
scientific article; zbMATH DE number 6217237 |
Statements
18 October 2013
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gai sequence
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analytic sequence
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double sequences
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Riesz sequence
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dual
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sectional analyticity
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mean value property
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mildly conservative spaces
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The Riesz aspects of \(\chi^2\) sequence spaces (English)
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The authors extend a few results known in the literature for ordinary (single) sequence spaces to multiple sequence spaces. They introduce the concept of sectional analyticity and prove a theorem on the mean value condition. They also construct a mildly conservative \(FK\)-space which is not semi-conservative.
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