On property \((\beta)\) in Banach lattices, Calderón-Lozanowskiĭ and Orlicz-Lorentz spaces

DOI10.1007/BF02829599zbMath0993.46009MaRDI QIDQ5949625

Pawel Kolwicz

Publication date: 16 September 2002

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

Banach latticeBanach function latticesuniform convexityCalderón-Lozanowskiĭ spacesOrlicz-Lorentz spacesRolewicz property \((\beta)\)uniform monotonicity

Mathematics Subject Classification ID

Banach lattices (46B42)

Related Items (3)

Property \(\beta \) of Rolewicz and orthogonal convexities of Calderón-Lozanovski spaces ⋮ The criteria of strict monotonicity and rotundity points in generalized Calderón-Lozanovskiǐ spaces ⋮ Moduli and characteristics of monotonicity in general Banach lattices and in Orlicz spaces in particular

Cites Work

• Some basic properties of generalized Calderón-Lozanovskiĭ spaces
• Uniform convexity of generalized Lorentz spaces
• Characteristic of convexity of Köthe function spaces
• On some geometric properties of generalized Calderón-Lozanovskiĭ spaces
• On property \((\beta)\) in Orlicz spaces
• Banach spaces which are nearly uniformly convex
• On the geometry of some Calderón-Lozanovskij interpolation spaces
• On ∆-uniform convexity and drop property
• Uniformly non-l n (1) Musielak-Orlicz Spaces of Bochner Type
• Some Remarks on Orlicz‐Lorentz Spaces
• Intermediate spaces and interpolation, the complex method
• Monotonicity and rotundity properties in Banach lattices
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