A note on three-space Banach space ideals (Q1063850)
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scientific article; zbMATH DE number 3917062
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on three-space Banach space ideals |
scientific article; zbMATH DE number 3917062 |
Statements
A note on three-space Banach space ideals (English)
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1986
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Let E be a minimal Banach space in the sense that every infinite dimensional subspace contains in turn a copy of E, and let NE be the class of all Banach spaces containing no copy of E. In this note we show that NE is a three-space injective ideal; in particular, NX is such an ideal where X is either \(c_ 0\) or \(\ell_ p\) \((1\leq p<\infty)\) or the Tsirelson space.
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minimal Banach space
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three-space injective ideal
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Tsirelson space
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