The uniform Kadec-Klee property for the Lorentz spaces Lw,1-Reference-Cited by-同舟云学术

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

Published:1996-02 Issue:1 Volume:60 Page:7-17
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Dilworth S. J.,Hsu Yu-Ping

Abstract

AbstractIn this paper we show that the Lorentz space Lw, 1(0, ∞) has the weak-star uniform Kadec-Klee property if and only if inft>0 (w(αt)/w(t)) > 1 and supt>0(φ(αt) / φ(t))< 1 for all α ∈ (0, 1), where φ(t) = ∫t0 w(s) ds.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference16 articles.

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