The uniform Kadec-Klee property for Orlicz-Lorentz spaces

Abstract

We give sufficient conditions, as well as some necessary conditions, for the Orlicz-Lorentz space Δθ,ω to have the weak-star uniform Kadec-Klee property. These results generalize the characterization of the weak-star uniform Kadec-Klee property in the Lorentz space Δω = Lω,1 due to Dilworth and Hsu. © 2007 Cambridge Philosophical Society.

Publication Title

Mathematical Proceedings of the Cambridge Philosophical Society

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