Kadec-Klee properties of Orlicz-Lorentz sequence spaces equipped with the Orlicz norm

DOI10.1007/s11117-020-00803-4zbMath1489.46020OpenAlexW3126867076MaRDI QIDQ2055379

Paweł Foralewski, Radosław Kaczmarek, Henryk Hudzik, Yun An Cui

Publication date: 1 December 2021

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-020-00803-4

zbMATH Keywords

Orlicz normKadec-Klee propertyOrlicz-Lorentz sequence spacessubspace of order continuous elementsKadec-Klee property with respect to the coordinatewise convergence

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Geometry and structure of normed linear spaces (46B20) Banach lattices (46B42) Banach sequence spaces (46B45) Modular spaces (46A80)

Related Items (4)

Uniform Kadec-Klee properties of Orlicz-Lorentz sequence spaces equipped with the Orlicz norm ⋮ Orlicz-Lorentz sequence spaces equipped with the Orlicz norm ⋮ Kadec-Klee property in Orlicz function spaces equipped with $s$-norms ⋮ Orlicz-Lorentz function spaces equipped with the Orlicz norm

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orlicz spaces and modular spaces
• Points of monotonicity in Orlicz-Lorentz function spaces
• Geometric properties of symmetric spaces with applications to Orlicz-Lorentz spaces
• Strongly extreme points in Köthe-Bochner spaces
• Distributionally concave symmetric spaces and uniqueness of symmetric structure
• Non-squareness properties of Orlicz-Lorentz sequence spaces
• On some geometric properties of generalized Orlicz-Lorentz sequence spaces
• Kadec-Klee property and fixed points
• Local approach to Kadec-Klee properties in symmetric function spaces
• Local uniform non-squareness of Orlicz-Lorentz function spaces
• Monotonicity in Orlicz-Lorentz sequence spaces equipped with the Orlicz norm
• 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
• On Geometric Properties of Orlicz-Lorentz Spaces
• Some Remarks on Orlicz‐Lorentz Spaces
• Dual spaces to Orlicz–Lorentz spaces
• M‐constants in Orlicz–Lorentz function spaces
• On some geometric and topological properties of generalized Orlicz–Lorentz sequence spaces
• Characterizations of Kadec-Klee properties in symmetric spaces of measurable functions

This page was built for publication: Kadec-Klee properties of Orlicz-Lorentz sequence spaces equipped with the Orlicz norm