Linear Mappings and Duality

  • Gottfried Köthe
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 237)


Continuous linear mappings between locally convex spaces are the subject of § 32. The most important result is the homomorphism theorem in § 32, 4. For (B)- and (F)-spaces much more can be said. § 33 contains a detailed investigation of these cases culminating in the homomorphism theorems for (B)- resp. (F)-spaces in § 33, 4. A lifting property for separable locally convex spaces leads to the theorem of Sobczyk.


Convex Space Webbed Space Continuous Linear Mapping Closed Unit Ball Baire Space 


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Copyright information

© Springer-Verlag New York Inc. 1979

Authors and Affiliations

  • Gottfried Köthe
    • 1
  1. 1.Institut für Angewandte MathematikJohann-Wolfgang-Goethe UniversitätFrankfurt am MainFederal Republic of Germany

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