Kadec-Klee property with respect to the local convergence in measure of Orlicz-Lorentz spaces

DOI10.1002/MANA.202300151MaRDI QIDQ6539611

Joanna Kończak, Pawel Foralewski

Publication date: 15 May 2024

Published in: Mathematische Nachrichten (Search for Journal in Brave)

zbMATH Keywords

Luxemburg normOrlicz normOrlicz-Lorentz spacesKadec-Klee propertysubspace of order continuous elements

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)

Cites Work

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• Orlicz spaces and modular spaces
• Strongly extreme points in Köthe-Bochner spaces
• Non-squareness properties of Orlicz-Lorentz sequence spaces
• Orlicz-Lorentz sequence spaces equipped with the Orlicz norm
• Monotonicity in Orlicz-Lorentz sequence spaces equipped with the Orlicz norm
• Some fundamental geometric and topological properties of generalized Orlicz-Lorentz function spaces
• Rotundity and uniform rotundity of Orlicz-Lorentz sequence spaces equipped with the Orlicz norm
• Gateaux differentiability in Orlicz–Lorentz spaces and applications
• Comparison of Orlicz-Lorentz spaces
• Some Remarks on Orlicz‐Lorentz Spaces
• Dual spaces to Orlicz–Lorentz spaces
• M‐constants in Orlicz–Lorentz function spaces
• Characterizations of Kadec-Klee properties in symmetric spaces of measurable functions
• Orlicz-Lorentz function spaces equipped with the Orlicz norm

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