The uniqueness of norm-one projection in James-type spaces (Q1806138)

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scientific article; zbMATH DE number 1356332
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The uniqueness of norm-one projection in James-type spaces
scientific article; zbMATH DE number 1356332

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    The uniqueness of norm-one projection in James-type spaces (English)
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    20 December 1999
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    In 1950 \textit{R. C. James} [Ann. Math., II. Ser. 52, 518-527 (1950; Zbl 0039.12202)] defined a Banach space whose properties had important ramifications for understanding the structure of Banach spaces. This paper proves some structure properties for such James-type spaces. A necessary and sufficient condition is found for the existence of a unique minimal projection of the space onto its intersection with \(c_0\).
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    norm-one projection
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    convex functions
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    Orlicz sequences
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    structure of Banach spaces
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    James-type space
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    minimal projection
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