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The uniform Kadec–Klee property for Orlicz–Lorentz spaces

Published online by Cambridge University Press:  01 September 2007

A. KAMIŃSKA ,
CHRIS LENNARD ,
MIECZYSŁAW MASTYŁO  and
SYLWIA MIKULSKA
A. KAMIŃSKA
Affiliation:
Department of Mathematical Sciences, The University of Memphis, Memphis, TN 38152, U.S.A. email: kaminska@memphis.edu
CHRIS LENNARD
Affiliation:
Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, U.S.A. email: lennard@pitt.edu
MIECZYSŁAW MASTYŁO
Affiliation:
Faculty of Mathematics and Computer Science, A. Mickiewicz University; and Institute of Mathematics, Polish Academy of Science (Poznań branch), Umultowska 87, 61-614 Poznań, Poland. email: mastylo@amu.edu.pl
SYLWIA MIKULSKA
Affiliation:
Institute of Mathematics, Szczecin University of Technology, Al. Piastów 48/49, 70-311 Szczecin, Poland. email: Sylwia.Mikulska@ps.pl
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Abstract

We 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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 143 , Issue 2 , September 2007 , pp. 349 - 374
Copyright
Copyright © Cambridge Philosophical Society 2007

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