The uniform Kadec–Klee property for Orlicz–Lorentz spaces

Author:

KAMIŃSKA A.,LENNARD CHRIS,MASTYŁO MIECZYSŁAW,MIKULSKA SYLWIA

Abstract

AbstractWe give sufficient conditions, as well as some necessary conditions, for the Orlicz–Lorentz space Λϕ,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 Λω = Lω,1 due to Dilworth and Hsu.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference20 articles.

1. Uniform convexity of generalized Lorentz spaces

2. The uniform Kadec-Klee property for the Lorentz spaces Lw,1

3. [10] Kamińska A. and Mastył M. . Duality and classical opearators in function spaces. Report No. 112/(2001), 30 pp., Faculty of Math. and Comp. Sci., Poznań.

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