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Weak Uniform Rotundity of Orlicz Sequence Spaces

✍ Scribed by Malgorzata Doman

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
299 KB
Volume
162
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Necessary and sufficient conditions are given for weak uniform rotundity of Orlicz sequence spaces equipped with the Luxemburg norm.

📜 SIMILAR VOLUMES

k-Uniform Rotundity of Lorentz–Orlicz Sp
k-Uniform Rotundity of Lorentz–Orlicz Spaces
✍ Pei-Kee Lin 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 192 KB

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.

On some geometric and topological proper
On some geometric and topological properties of generalized Orlicz–Lorentz sequence spaces
✍ Paweł Foralewski; Henryk Hudzik; Lucjan Szymaszkiewicz 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 257 KB

## 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