Logarithmically concave functions and sections of convex sets in
Keith Ball (1988)
Studia Mathematica
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Displaying similar documents to “Generalization of projection constants: sufficient enlargements.”
Logarithmically concave functions and sections of convex sets in
On an extension of norms from a subspace to the whole Banach space keeping their rotundity
M. Fabian (1995)
Studia Mathematica
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Let ℛ denote some kind of rotundity, e.g., the uniform rotundity. Let X admit an ℛ-norm and let Y be a reflexive subspace of X with some ℛ-norm ∥·∥. Then we are able to extend ∥·∥ from Y to an ℛ-norm on X.
Metric ellipses in Minkowski planes.
Wu Senlin, Ji Donghai, Javier Alonso (2005)
Extracta Mathematicae
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An ellipse in R can be defined as the locus of points for which the sum of the Euclidean distances from the two foci is constant. In this paper we will look at the sets that are obtained by considering in the above definition distances induced by arbitrary norms.
Finite-dimensional Banach spaces with symmetry constant of order √n
P. Mankiewicz (1984)
Studia Mathematica
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Between Paouris concentration inequality and variance conjecture
B. Fleury (2010)
Annales de l'I.H.P. Probabilités et statistiques
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We prove an almost isometric reverse Hölder inequality for the euclidean norm on an isotropic generalized Orlicz ball which interpolates Paouris concentration inequality and variance conjecture. We study in this direction the case of isotropic convex bodies with an unconditional basis and the case of general convex bodies.
Constructive approximation of a ball by polytopes
Martin Kochol (1994)
Mathematica Slovaca
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Concentration and flatness properties of the singular set of bisected balls
Francesco Maddalena, Sergio Solimini (2001)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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