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In mathematics, a uniformly smooth space is a normed vector space satisfying the property that for every there exists such that if with and then The modulus of smoothness of a normed space X is the function ρX defined for every t > 0 by the formula The triangle inequality yields that ρX(t ) ≤ t. The normed space X is uniformly smooth if and only if ρX(t ) / t tends to 0 as t tends to 0.

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  • Gleichmäßig glatte Räume werden im mathematischen Teilgebiet der Funktionalanalysis untersucht. Es handelt sich um normierte Räume, deren Norm eine besondere Glattheitsbedingung erfüllt. Über eine Dualraumbeziehung hängen sie eng mit den gleichmäßig konvexen Räumen zusammen. (de)
  • In mathematics, a uniformly smooth space is a normed vector space satisfying the property that for every there exists such that if with and then The modulus of smoothness of a normed space X is the function ρX defined for every t > 0 by the formula The triangle inequality yields that ρX(t ) ≤ t. The normed space X is uniformly smooth if and only if ρX(t ) / t tends to 0 as t tends to 0. (en)
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  • Gleichmäßig glatte Räume werden im mathematischen Teilgebiet der Funktionalanalysis untersucht. Es handelt sich um normierte Räume, deren Norm eine besondere Glattheitsbedingung erfüllt. Über eine Dualraumbeziehung hängen sie eng mit den gleichmäßig konvexen Räumen zusammen. (de)
  • In mathematics, a uniformly smooth space is a normed vector space satisfying the property that for every there exists such that if with and then The modulus of smoothness of a normed space X is the function ρX defined for every t > 0 by the formula The triangle inequality yields that ρX(t ) ≤ t. The normed space X is uniformly smooth if and only if ρX(t ) / t tends to 0 as t tends to 0. (en)
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  • Gleichmäßig glatter Raum (de)
  • Uniformly smooth space (en)
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