Complex rotundity of Orlicz sequence spaces equipped with the \(p\)-Amemiya norm

DOI10.1016/J.JMAA.2011.01.039zbMath1225.46008OpenAlexW2065104266MaRDI QIDQ631844

Yun An Cui, Li Li Chen

Publication date: 14 March 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.01.039

zbMATH Keywords

Orlicz sequence spaces\(p\)-Amemiya normcomplex extreme pointscomplex strongly extreme points

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Banach sequence spaces (46B45)

Related Items (3)

The fixed point property of Orlicz sequence spaces equipped with the \(p\)-Amemiya norm ⋮ Uniform rotundity in every direction of Orlicz function spaces equipped with the \(p\)-Amemiya norm ⋮ Complex convexity of Orlicz modular sequence spaces

Cites Work

• Orlicz spaces and modular spaces
• Basic theory of \(p\)-Amemiya norm in Orlicz spaces (\(1\leq p\leq \infty\)): Extreme points and rotundity in Orlicz spaces endowed with these norms
• Criteria for complex strongly extreme points of Musielak--Orlicz function spaces
• Orlicz spaces without extreme points
• Extreme points and strongly extreme points in Orlicz spaces equipped with the Orlicz norm
• Complex midpoint locally uniform rotundity of Musielak-Orlicz sequence spaces
• The Strong Maximum Modulus Theorem for Analytic Functions into a Banach Space
• Relationships between monotonicity and complex rotundity properties with some consequences
• Amemiya norm equals Orlicz norm in general
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