A Banach lattice having the approximation property, but not having the bounded approximation property (Q2197255)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Banach lattice having the approximation property, but not having the bounded approximation property |
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A Banach lattice having the approximation property, but not having the bounded approximation property (English)
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31 August 2020
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An example of a Banach lattice satisfying the properties of the title is given. The space is constructed starting with an increasing sequence of finite-dimensional subspaces of the separable reflexive Banach lattice without the approximation property given in [\textit{A. Szankowski}, Isr. J. Math. 24, 329--337 (1976; Zbl 0336.46013)] and careful renorming arguments. We refer to the paper for details.
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Banach lattice
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basis
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approximation property
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bounded approximation property
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