\(P\)-convexity of Orlicz-Bochner function spaces endowed with the Orlicz norm
DOI10.1016/j.na.2011.08.040zbMath1239.46015OpenAlexW2051226420MaRDI QIDQ644207
Shaoqiang Shang, Yongqiang Fu, Yun An Cui
Publication date: 3 November 2011
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.2011.08.040
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20)
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Cites Work
- Locally uniform convexity in Musielak-Orlicz function spaces of Bochner type endowed with the Luxemburg norm
- A nonreflexive Banach space that is uniformly nonoctahedral
- Approximate compactness in Orlicz spaces
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- Strongly extreme points in Orlicz function spaces
- Uniformly non-square Banach spaces
- The Radius Ratio and Convexity Properties in Normed Linear Spaces
- Uniformly non-l n (1) Musielak-Orlicz Spaces of Bochner Type
- Orlicz Spaces Without Strongly Extreme Points and Without H-Points
- 𝑃-convexity of Orlicz-Bochner spaces
- On a Convexity Condition in Normed Linear Spaces
- Packing and Reflexivity in Banach Spaces
- Relationships between monotonicity and complex rotundity properties with some consequences
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