Background Notes

  • Jean-Pierre Aubin
  • Arrigo Cellina
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 264)


We gather several known (or less known) results which are used in several distinct places of this book. We prove the existence of locally Lipschitzean partitions of unity subordinated to a locally finite open covering of a metric space and we recall the definition and the characterization of absolutely continuous functions.


Hilbert Space Convex Hull Closed Convex Cone Closed Convex Hull Lower Semicontinuous Convex Function 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • Jean-Pierre Aubin
    • 1
  • Arrigo Cellina
    • 2
  1. 1.CEREMADEUniversité de Paris-DauphineParis Cedex 16France
  2. 2.S.I.S.S.A.TriesteItaly

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