Local uniform rotundity and weak local uniform rotundity of Musielak--Orlicz sequence spaces endowed with the Orlicz norm

DOI10.1016/J.NA.2007.07.011zbMath1165.46004OpenAlexW2044327208MaRDI QIDQ938719

Liu Xin Bo, Henryk Hudzik, Yun An Cui, Paweł Foralewski

Publication date: 27 August 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.07.011

zbMATH Keywords

Orlicz normlocal uniform rotundityMusielak-Orlicz sequence spacesweak local uniform rotundity

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Geometry and structure of normed linear spaces (46B20) Banach sequence spaces (46B45)

Related Items (3)

Banach-Saks type and Gurariǐ modulus of convexity of some Banach sequence spaces ⋮ Uniform Gateaux differentiability and weak uniform rotundity in Musielak-Orlicz function spaces of Bochner type equipped with the Luxemburg norm ⋮ Strongly extreme points of Orlicz function spaces equipped with \(\Phi\)-Amemiya norm

Cites Work

• Orlicz spaces and modular spaces
• Strict convexity of sequence Orlicz-Musielak spaces with Orlicz norm
• Uniform rotundity of Musielak-Orlicz sequence spaces
• Minimal projections in Banach spaces. Problems of existence and uniqueness and their application
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