A note on a selector theorem in Banach spaces

  • Jon K. Cole
Technical Note


The existence of a strongly measurable function taking its values in a variable subset of a separable and reflexive Banach space was shown in Ref. 1. Here, we show the collection of all such functions to be weakly compact in itself.


Banach Space Measurable Function Reflexive Banach Space Weakly Compact Variable Subset 
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Copyright information

© Plenum Publishing Corporation 1972

Authors and Affiliations

  • Jon K. Cole
    • 1
  1. 1.Department of MathematicsSt. John's UniversityJamaica

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