Kadec-Klee property for convergence in measure of noncommutative Orlicz spaces

DOI10.1016/j.jmaa.2017.09.043zbMath1384.46042arXiv1610.03948OpenAlexW2533283951MaRDI QIDQ1682102

Lining Jiang, Kai Ji, Zhenhua Ma

Publication date: 28 November 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.03948

zbMATH Keywords

Orlicz functionconvergence in measure\(\tau\)-measurable operatorKadec-Klee propertynoncommutative Orlicz spaces associated to semifinite von Neumann algebras

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Noncommutative function spaces (46L52) Modular spaces (46A80)

Cites Work

• Maps on noncommutative Orlicz spaces
• Non-commutative Orlicz spaces associated to a modular on \(\tau\)-measurable operators
• Noncommutative Orlicz spaces associated to a state. II
• On geometrical properties of noncommutative modular function spaces
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• Notes on non-commutative integration
• Monotonicity properties of Musielak-Orlicz spaces and dominated best approximation in Banach lattices
• Generalized s-numbers of \(\tau\)-measurable operators
• Closed subspaces and some basic topological properties of noncommutative Orlicz spaces
• Correction to A non-commutative extension of abstract integration
• Noncommutative Kothe Duality
• Lifting of Kadec-Klee properties to symmetric spaces of measurable operators
• Noncommutative Orlicz Spaces and Generalized Arens Algebras
• A uniform Kadec-Klee property for symmetric operator spaces
• Noncommutative Orlicz spaces associated to a state
• Characterizations of Kadec-Klee properties in symmetric spaces of measurable functions
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