## Abstract Generalized Orlicz–Lorentz sequence spaces __λ~φ~__ generated by Musielak‐Orlicz functions φ satisfying some growth and regularity conditions (see [28] and [33]) are investigated. A regularity condition __δ__^__λ__^ ~2~ for φ is defined in such a way that it guarantees many positive top
Some geometric properties of Lorentz-Orlicz spaces
✍ Scribed by Pei-Kee Lin; Huiying Sun
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 489 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## 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
## 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 convexi
It is known that if an Orlicz function space is k-uniformly rotund for some k G 2, then it must be uniformly convex. In the paper, we show that a similar result holds in Lorentz᎐Orlicz function spaces.