The Bourgain \(\ell^{1}\)-index of mixed Tsirelson space (Q1874694)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Bourgain \(\ell^{1}\)-index of mixed Tsirelson space |
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The Bourgain \(\ell^{1}\)-index of mixed Tsirelson space (English)
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25 May 2003
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This is a thorough investigation of the Bourgain \(\ell^1\)-indices of mixed Tsirelson spaces. One result is: if \(\eta\) is a countable ordinal not of the form \(\omega^\xi\) for some limit ordinal \(\xi\), then there is a Banach space whose \(\ell^1\)-index is \(\omega^n\).
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Mixed Tsirelson space
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Bourgain's \(\ell^1\)-index
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Schreier families
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