Translation into Duality

  • François Treves
Part of the Die Grundlehren der mathematischen Wissenschaften book series (GL, volume 146)


Let E be a vector space over the field K=R or C. We denote by E* the algebraic dual of E, i.e., the vector space of the linear mappings EK. Elements of E* will be denoted by x*, x * 1 , y * , etc.; the value of the functional x * at the point xE will be denoted by 〈x*, x〉. We denote by |x * |the seminorm on E,
$$ x \to |< {x^ * },x >| $$


Convex Space Vector Subspace Closed Unit Ball Canonical Extension Convex Topology 
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

© Springer-Verlag Berlin · Heidelberg 1967

Authors and Affiliations

  • François Treves
    • 1
  1. 1.Purdue UniversityLafayetteUSA

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