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Normed vector spaces consisting of classes of convex sets

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References

  1. Bonnesen, T., andW. Fenchel: Theorie der konvexen Körper. Berlin: Springer 1934; New York: Chelsea 1948.

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  2. Blaschke, W.: Kreis und Kugel. Leipzig: Veit 1916; New York: Chelsea 1948.

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  3. Grünbaum, B.: Measures of symmetry for convex sets. Proc. Symposia Pure Math., Vol. VII, Convexity. American Math. Soc. 1963.

  4. Hörmander, L.: Sur la fonction d'appui des ensembles convexes dans un espace localement convexe. Ark. Mat.3, 181–186 (1955).

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  5. Rådström, H.: An embedding theorem for spaces of convex sets. Proc. American Math. Soc.3, 165–169 (1952).

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Authors and Affiliations

  1. Mathematisches Institut der Universität, Mainz

    Günter Ewald & Geoffrey C. Shephard

  2. University of Birmingham, England

    Günter Ewald & Geoffrey C. Shephard

Authors
  1. Günter Ewald
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  2. Geoffrey C. Shephard
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Ewald, G., Shephard, G.C. Normed vector spaces consisting of classes of convex sets. Math Z 91, 1–19 (1966). https://doi.org/10.1007/BF01113848

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  • DOI: https://doi.org/10.1007/BF01113848

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