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The volume of convex bodies and Banach space geometry / Gilles Pisier

Auteur principal : Pisier, Gilles, 1950-, AuteurType de document : MonographieCollection : Cambridge tracts in mathematics, 94Langue : anglais.Pays : Grande Bretagne.Éditeur : Cambridge : Cambridge University Press, 1989Description : 1 vol. (250 p.) ; 24 cmISBN : 9780521364652.ISSN : 0950-6284.Bibliographie : Bibliography: p. 237-248.Sujet MSC : 52A20, Convex and discrete geometry -- General convexity, Convex sets in n dimensions (including convex hypersurfaces)
46B20, Functional analysis -- Normed linear spaces and Banach spaces; Banach lattices, Geometry and structure of normed linear spaces
46-02, Functional analysis, Research exposition (monographs, survey articles)
52-02, Convex and discrete geometry, Research exposition (monographs, survey articles)
52C07, Convex and discrete geometry -- Discrete geometry, Lattices and convex bodies in n dimensions
En-ligne : Zentralblatt | MathSciNet
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52 PIS (Browse shelf) Available 11939-01

This book gives an almost self-contained presentation of a number of recent results which relate the volume of convex bodies symmetric with respect to 0 in n-dimensional Euclidean space (such bodies we will call simply balls) and the geometry of the corresponding finite-dimensional normed spaces. ... (MathSciNet)

Bibliography: p. 237-248

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