Property \(\beta \) of Rolewicz and orthogonal convexities of Calderón-Lozanovski spaces

DOI10.1016/j.na.2011.03.040zbMath1231.46009OpenAlexW2059793037MaRDI QIDQ548610

Karol Leśnik, Pawel Kolwicz

Publication date: 29 June 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.2011.03.040

zbMATH Keywords

Köthe spaceuniform monotonicityOrlicz-Lorentz spaceCalderón-Lozanovskiĭ spaceorthogonal strict convexityorthogonal uniform convexityproperty \(\beta \) of Rolewicz

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) Banach lattices (46B42)

Related Items (1)

Banach-Saks type and Gurariǐ modulus of convexity of some Banach sequence spaces

Cites Work

• Local \(\Delta _2^E(x)\) condition as a crucial tool for local structure of Calderón-Lozanovskiĭ spaces
• Some basic properties of generalized Calderón-Lozanovskiĭ spaces
• Uniform convexity of generalized Lorentz spaces
• \(k\)-\(\beta\) and \(k\)-nearly uniformly convex Banach spaces
• Geometric properties of symmetric spaces with applications to Orlicz-Lorentz spaces
• On property \((\beta)\) in Orlicz spaces
• Local monotonicity structure of Calderón-Lozanovskiĭ spaces.
• On the geometry of some Calderón-Lozanovskij interpolation spaces
• On ∆-uniform convexity and drop property
• Some Remarks on Orlicz‐Lorentz Spaces
• Monotonicity Properties of Lorentz Spaces
• Intermediate spaces and interpolation, the complex method
• Relationships between monotonicity and complex rotundity properties with some consequences
• Monotonicity and rotundity properties in Banach lattices
• On property \((\beta)\) in Banach lattices, Calderón-Lozanowskiĭ and Orlicz-Lorentz spaces
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