Normed Linear Spaces

  • Mahlon M. Day
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE2, volume 21)

Abstract

Each of the function spaces mentioned in the introduction of th preceding chapter has (with one exception, A(D)) a norm ∥ ∥ [Definition I, 3, 1] which defines the topology of major interest in the space; a neighborhood basis of a point x is the family of sets {y: ∥ x - y ∥ ≦ ε} where ε > 0.

Keywords

Hull Topo Bedding Toll Ally Summable 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1973

Authors and Affiliations

  • Mahlon M. Day
    • 1
  1. 1.University of IllinoisUrbanaUSA

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