The properties \((L\beta) \) and \((s\beta)\) in a Banach space (Q1318621)

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scientific article; zbMATH DE number 540761
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The properties \((L\beta) \) and \((s\beta)\) in a Banach space
scientific article; zbMATH DE number 540761

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    The properties \((L\beta) \) and \((s\beta)\) in a Banach space (English)
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    6 April 1994
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    We introduce two properties of the norm in a Banach space: the local property \((\beta)\) and the stream \((\beta)\). These properties are between the corresponding ones of rotundity and those similar to type \((\alpha)\). We prove that they are stable for generalized Banach products and we study the other hereditary properties.
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    properties of the norm in a Banach space
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    local property \((\beta)\)
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    stream \((\beta)\)
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    rotundity
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    type \((\alpha)\)
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    stable for generalized Banach products
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    hereditary properties
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