Translation into Duality

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

Abstract

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,
$$ x \to |< {x^ * },x >| $$
.

Keywords

Hull 

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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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