Uniform Kadec-Klee Property in Banach Lattices

نویسندگان

  • Fouad Chaatit
  • Mohamed A. Khamsi
  • M. A. Khamsi
چکیده

We prove that a Banach lattice X which does not contain the ln ∞uniformly has an equivalent norm which is uniformly Kadec-Klee for a natural topology τ on X. In case the Banach lattice is purely atomic, the topology τ is the coordinatewise convergence topology. 1980 Mathematics Subject Classification: Primary 46B03, 46B42.

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تاریخ انتشار 1994