Compact full \(k\)-rotundity in some Banach spaces

DOI10.1016/J.NA.2005.02.079zbMath1224.46021OpenAlexW2053236061MaRDI QIDQ999968

Ryszard Płuciennik, Yun An Cui

Publication date: 4 February 2009

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.2005.02.079

zbMATH Keywords

Orlicz spaceOrlicz normlocal uniform rotundityproperty (S)\(k\)-rotunditycompact full \(k\)-rotundity

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Geometry and structure of normed linear spaces (46B20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orlicz spaces and modular spaces
• Convexity in Musielak-Orlicz spaces
• A generalization of local uniform convexity of the norm
• \(P\)-convex Orlicz-Bochner spaces equipped with the Orlicz norm
• Extreme points and strongly extreme points in Orlicz spaces equipped with the Orlicz norm
• On fully rotundity properties and approximative compactness in some Banach sequence spaces
• On the Lk-UR and L-kR spaces
• Isometric copies of 𝑙¹ and 𝑙^{∞} in Orlicz spaces equipped with the Orlicz norm
• Locally Uniformly Convex Banach Spaces
• FULLY CONVEX NORMED LINEAR SPACES
• Amemiya norm equals Orlicz norm in general

This page was built for publication: Compact full \(k\)-rotundity in some Banach spaces