Linear Spaces

  • Richard V. Kadison
  • John R. Ringrose

Abstract

Show that, if q is a sublinear functional on a (real or complex) vector space V,and V is the convex set {xV: q(x) 0 1}, then the support functional p of V is given by
$$ p(x) = \max \{ q(x),0\} (x \in V) $$

Keywords

Nite sinO 

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Copyright information

© Richard V. Kadison 1991

Authors and Affiliations

  • Richard V. Kadison
    • 1
  • John R. Ringrose
    • 2
  1. 1.Department of MathematicsUniversity of PennsylvaniaPhiladelphiaUSA
  2. 2.School of MathematicsUniversity of NewcastleNewcastle upon TyneEngland

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