Linear Spaces

  • Richard V. Kadison
  • John R. Ringrose


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
$$ p(x) = \max \{ q(x),0\} (x \in V) $$


Banach Space Linear Space Unit Ball Null Space Closed Subspace 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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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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