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Title of Journal: Arch Math

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Abbravation: Archiv der Mathematik

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Birkhäuser-Verlag

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DOI

10.1016/0038-1098(81)90166-6

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1420-8938

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Some properties of Gurariis modulus of convexity

Authors: Luisa Sánchez Antonio Ullán
Publish Date: 1998/11/01
Volume: 71, Issue: 5, Pages: 399-406
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Abstract

In 1967 Gurarii introduces a modulus of convexity beta Evarepsilon In this paper some properties of this modulus are analyzed They have their analogous on the well known Clarksons modulus of convexity delta Evarepsilon In particular we show that beta Evarepsilon can be defined in several equivalent forms We also prove that in lp spaces with 2 p the Gurariis modulus satifies the equality beta l pvarepsilon=1root p of1leftvarepsilon over 2 rightp for 0le varepsilon le 2

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  1. On an asymptotically autonomous system with Tikhonov type regularizing term
  2. Inverse positivity for general Robin problems on Lipschitz domains
  3. Gromov hyperbolicity of negatively curved Finsler manifolds
  4. Courbes planes à nœuds et à cusps
  5. On one-sided strong Arens irregularity
  6. Null controllability with constraints on the state for the linear Korteweg-de Vries equation
  7. Norm-attaining weighted composition operators on weighted Banach spaces of analytic functions
  8. A problem of Carlitz and its generalizations
  9. Distribution of the coefficients of modular forms and the partition function
  10. The abstract Dirichlet problem for continuous vector-valued functions
  11. Stability of volume comparison for complex convex bodies
  12. Lower bounds on the number of maximal subgroups in a finite group
  13. On the generalization of Faltings’ Annihilator Theorem
  14. On the identities defining a quadratic Jordan division algebra
  15. Abelian Carter subgroups in finite permutation groups
  16. On trace ideal weighted composition operators on weighted Fock spaces
  17. On curves with all Weierstrass points of maximal weight
  18. Bounds for the probability of generating the symmetric and alternating groups
  19. A characterization of the  -genus as a linear combination of Pontrjagin numbers
  20. Complemented ideals in $$A({\mathbb{R}}^{d})$$ of algebraic curves
  21. Power-free values of polynomials
  22. Gradient blowup rate for a viscous Hamilton–Jacobi equation with degenerate diffusion
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