Invariant and absolute invariant means of double sequences (Q442598)
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scientific article; zbMATH DE number 6063093
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant and absolute invariant means of double sequences |
scientific article; zbMATH DE number 6063093 |
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Invariant and absolute invariant means of double sequences (English)
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3 August 2012
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Summary: We examine some properties of the invariant mean, define the concepts of strong \(\sigma\)-convergence and absolute \(\sigma\)-convergence for double sequences, and determine the associated sublinear functionals. We also define the absolute invariant mean through which the space of absolutely \(\sigma\)-convergent double sequences is characterized.
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invariant mean
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strong \(\sigma\)-convergence
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absolute \(\sigma\)-convergence
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