Uniform rotundity in every direction of Orlicz function spaces equipped with the \(p\)-Amemiya norm

DOI10.1007/s13348-018-0220-3zbMath1420.46016OpenAlexW2789293127WikidataQ130111993 ScholiaQ130111993MaRDI QIDQ1736925

Radosław Kaczmarek

Publication date: 26 March 2019

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13348-018-0220-3

zbMATH Keywords

Orlicz spaces\(p\)-Amemiya normuniform rotundity in every direction

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)

Related Items

Uniformly convex in Orlicz space equipped with the Mazur-Orlicz \(F\)-norm

Cites Work

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• Uniform rotundity in every direction of Orlicz-Sobolev spaces
• The fixed point property of Orlicz sequence spaces equipped with the \(p\)-Amemiya norm
• Non-squareness properties of Orlicz spaces equipped with the \(p\)-Amemiya norm
• Monotonicity properties and dominated best approximation problems in Orlicz spaces equipped with the \(p\)-Amemiya norm
• Complex rotundity of Orlicz sequence spaces equipped with the \(p\)-Amemiya norm
• 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
• Complex extreme points and complex rotundity in Orlicz function spaces equipped with the \(p\)-Amemiya norm
• Strongly extreme points in Orlicz spaces equipped with the \(p\)-Amemiya norm
• Packing constant in Orlicz sequence spaces equipped with the \(p\)-Amemiya norm
• \(M\)-constants, Dominguez-Benavides coefficient, and weak fixed point property in Orlicz sequence spaces equipped with the \(p\)-Amemiya norm
• Geometric properties of Orlicz spaces equipped with \(p\)-Amemiya norms − results and open questions
• Rotundity in Lebesgue-Bochner Function Spaces
• Uniform rotundity of Orlicz function spaces equipped with the ‐Amemiya norm
• The best possible net and the best possible cross-section of a set in a normed space
• Normed Linear Spaces that are Uniformly Convex in Every Direction
• Amemiya norm equals Orlicz norm in general

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