Quantifications of boundedly complete and shrinking bases (Q2103561)
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scientific article; zbMATH DE number 7632824
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quantifications of boundedly complete and shrinking bases |
scientific article; zbMATH DE number 7632824 |
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Quantifications of boundedly complete and shrinking bases (English)
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14 December 2022
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The authors introduce quantities measuring how far a Schauder basis is from being boundedly complete or shrinking. These quantities are used to measure nonbounded completeness or nonshrinkingness of bases for several examples. A relationship between the basis constant and these quantities is built. The motivation of the paper is to prove quantitative versions of the well-known relationships between shrinking bases and boundedly complete bases due to R.~C. James.
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Schauder bases
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shrinking bases
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boundedly complete bases
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