Invariant means and some matrix transformations (Q5906519)
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scientific article; zbMATH DE number 567159
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant means and some matrix transformations |
scientific article; zbMATH DE number 567159 |
Statements
Invariant means and some matrix transformations (English)
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10 May 1994
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The authors consider the set of all \(\sigma\)-convergent sequences denoted by \(V_ \sigma\). After proving that \(V_ \sigma\) is a Banach space, the authors characterize the matrices transforming \(\ell_ 1\) to \(V_ \sigma\). In conclusion the absolutely \(\sigma\)-convergence sequence spaces \(\ell_ \sigma (p)\) and \(m_ \sigma (p)\) are introduced and their properties are studied.
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matrix transformations
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Banach space
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sequence spaces
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