International Journal of Mathematics and Mathematical Sciences (Jan 2003)

A renorming of ℓ2, rare but with the fixed-point property

  • Antonio Jiménez-Melado,
  • Enrique Llorens-Fuster

DOI
https://doi.org/10.1155/S0161171203305216
Journal volume & issue
Vol. 2003, no. 65
pp. 4115 – 4129

Abstract

Read online

We give an example of a renorming of ℓ2 with the fixed-point property (FPP) for nonexpansive mappings, but which seems to fall out of the scope of all the commonly known sufficient conditions for FPP.