On paranorm Zweier \(I\)-convergent sequence spaces (Q355748)
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scientific article; zbMATH DE number 6191174
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On paranorm Zweier \(I\)-convergent sequence spaces |
scientific article; zbMATH DE number 6191174 |
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On paranorm Zweier \(I\)-convergent sequence spaces (English)
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25 July 2013
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Summary: We introduce the paranormed Zweier \(I\)-convergent sequence spaces \(\mathcal Z^I(q)\), \(\mathcal Z^0_I(q)\), and \(\mathcal Z^I_\infty(q) \mathcal Z^I_\infty(q)\) for \(q = (q_k)\), a sequence of positive real numbers. We study some topological properties, prove the decomposition theorem, and study some inclusion relations on these spaces.
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Zweier \(I\)-convergent sequence spaces
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