A construction of a base for the m fold tensor product of a Banach space (Q1823435)
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scientific article; zbMATH DE number 4115320
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A construction of a base for the m fold tensor product of a Banach space |
scientific article; zbMATH DE number 4115320 |
Statements
A construction of a base for the m fold tensor product of a Banach space (English)
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1989
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Let E be a Banach space with Schauder base \((x_ n)\) and \(E^ m\) the completion of the m fold tensor product with respect to a reasonable cross norm. The author provides an enumeration scheme, different from [\textit{B. R. Gelbaum} et al, Pac. J. Math. 11, 1281-1286 (1961; Zbl 0106.086)], to construct a Schauder base \((z_ n)\) in terms of \((x_ n)\) for \(E^ m\).
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tensor product
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reasonable cross norm
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enumeration scheme
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Schauder base
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0.9124876
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0.8977346
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0.88501894
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0.8838167
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