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
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A construction of a base for the m fold tensor product of a Banach space
scientific article; zbMATH DE number 4115320

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    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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