The angle modulus of the deformation of a normed space (Q2726120)

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scientific article; zbMATH DE number 1620012
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The angle modulus of the deformation of a normed space
scientific article; zbMATH DE number 1620012

    Statements

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    12 July 2001
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    \(g\)-angle in normed linear space
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    angle modulus of convexity
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    angle modulus of smoothness
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    angle modulus of deformation
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    quasilinear product spaces
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    The angle modulus of the deformation of a normed space (English)
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    Using the notion of \(g\)-angle in normed linear space some geometrical properties of this space is investigated. The notions ofNEWLINENEWLINENEWLINE-- the angle modulus of convexity,NEWLINENEWLINENEWLINE-- the angle modulus of smoothness,NEWLINENEWLINENEWLINE-- the angle modulus of deformation,NEWLINENEWLINENEWLINEfor the normal space are introduced. For so-called quasilinear product spaces some estimates of these moduli are derived.
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