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On the structure of spaces of vector-valued Lipschitz functions

Volume 239 / 2017

Luis García-Lirola, Colin Petitjean, Abraham Rueda Zoca Studia Mathematica 239 (2017), 249-271 MSC: Primary 46B10, 46B28; Secondary 46B20. DOI: 10.4064/sm8694-1-2017 Published online: 30 June 2017

Abstract

We analyse the strong connections between spaces of vector-valued Lipschitz functions and spaces of continuous linear operators. We apply these links to study duality, Schur properties and norm attainment in the former class of spaces as well as in their canonical preduals.

Authors

  • Luis García-Lirola
  • Colin Petitjean
  • Abraham Rueda Zoca

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