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Some Remarks on Orlicz-Lorentz Spaces

✍ Scribed by Anna Kamińska

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
441 KB
Volume
147
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Spaces of Lorentz type called Orlicz‐Lorentz spaces are studied. There are given necessary and sufficient conditions for the spaces to be order continuous, separable, KB‐spaces and to contain isometric or isomorphic copy of l∞ or c~0~. Moreover a criterion for strict convexity of these spaces is found.

📜 SIMILAR VOLUMES

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## Abstract Let Λ~__w,ϕ__~ be the Orlicz–Lorentz space. We study Gateaux differentiability of the functional ψ~__w,ϕ__~ (__f__) = $ \int \_{0} ^{\infty} $ __ϕ__ (__f__ \*)__w__ and of the Luxemburg norm. More precisely, we obtain the one‐sided Gateaux derivatives in both cases and we characterize

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## Abstract Generalized Orlicz‐Lorentz function spaces Λ~φ~ generated by Musielak‐Orlicz functions φ satisfying some growth and regularity conditions (cf. 34 and 38) are investigated. A regularity condition \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\Delta ^{\Lambd