Finitely additive measures and complementability of Lipschitz-free spaces

  • Marek Cúth
  • Ondřej F. K. KalendaEmail author
  • Petr Kaplický


We prove in particular that the Lipschitz-free space over a finite-dimensional normed space is complemented in its bidual. For Euclidean spaces the norm of the respective projection is 1. As a tool to obtain the main result we establish several facts on the structure of finitely additive measures on finite-dimensional spaces.


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Copyright information

© Hebrew University of Jerusalem 2019

Authors and Affiliations

  • Marek Cúth
    • 1
  • Ondřej F. K. Kalenda
    • 1
    Email author
  • Petr Kaplický
    • 1
  1. 1.Department of Mathematical Analysis, Faculty of Mathematics and PhysicsCharles UniversityPraha 8Czech Republic

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