On Geometric Properties of Orlicz-Lorentz Spaces

DOI10.4153/CMB-1997-038-6zbMath0903.46014MaRDI QIDQ4360812

Anna Kaminska, Henryk Hudzik, Mieczyslaw Mastylo

Publication date: 7 January 1999

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

Kadec-Klee propertymidpoint local uniform rotundity\(K\)-monotonicityOrlicz-Lorentz spaces with the Luxemburg norm

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 (21)

In some symmetric spaces monotonicity properties can be reduced to the cone of rearrangements ⋮ Relationships between \(K\)-monotonicity and rotundity properties with application ⋮ Hardy-Littlewood-Pólya relation in the best dominated approximation in symmetric spaces ⋮ Non-squareness properties of Orlicz-Lorentz function spaces ⋮ Bishop's theorem and differentiability of a subspace of \(C_b(K)\) ⋮ On some geometric properties of generalized Orlicz-Lorentz function spaces ⋮ Some fundamental geometric and topological properties of generalized Orlicz-Lorentz function spaces ⋮ Uniform \(K\)-monotonicity and \(K\)-order continuity in symmetric spaces with application to approximation theory ⋮ Lower and upper local uniform \(K\)-monotonicity in symmetric spaces ⋮ Monotonicity and rotundity properties in Banach lattices ⋮ Denseness of norm-attaining mappings on Banach spaces ⋮ Local rotundity structure of generalized Orlicz-Lorentz sequence spaces ⋮ Rotundity structure of local nature for generalized Orlicz-Lorentz function spaces ⋮ Approximative compactness and full rotundity in Musielak--Orlicz spaces and Lorentz--Orlicz spaces ⋮ Compactness and essential norms of composition operators on Orlicz-Lorentz spaces ⋮ On some geometric and topological properties of generalized Orlicz–Lorentz sequence spaces ⋮ Some properties and interpolation theorems in weak Orlicz-Lorentz spaces ⋮ Kadec-Klee properties of Orlicz-Lorentz sequence spaces equipped with the Orlicz norm ⋮ Rotundity and uniform rotundity of Orlicz-Lorentz sequence spaces equipped with the Orlicz norm ⋮ Symmetric spaces of measurable functions: some new and old advances ⋮ On geometric structure of symmetric spaces

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