Lifting of Kadec-Klee properties to symmetric spaces of measurable operators

DOI10.1090/S0002-9939-97-03731-3zbMath0871.46033OpenAlexW1506656969MaRDI QIDQ4336606

Theresa K.-Y. Dodds, Peter G. Dodds, Pheodor A. Sukochev

Publication date: 13 May 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03731-3

zbMATH Keywords

rearrangement-invariant spacesmeasurable operatorsKadec-Klee propertiessubmajorizationsymmetric Banach function space

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) Free probability and free operator algebras (46L54) Geometry and structure of normed linear spaces (46B20) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Linear spaces of operators (47L05)

Related Items (6)

Kadec-Klee property for convergence in measure of noncommutative Orlicz spaces ⋮ Complex uniform rotundity in symmetric spaces of measurable operators ⋮ Positive linear isometries in symmetric operator spaces ⋮ Normed Köthe spaces: a non-commutative viewpoint ⋮ Logarithmic submajorisation and order-preserving linear isometries ⋮ Geometric properties of noncommutative symmetric spaces of measurable operators and unitary matrix ideals

Cites Work

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• Generalized s-numbers of \(\tau\)-measurable operators
• Noncommutative Kothe Duality
• Convergence in Trace Ideals
• More on Convergence in Unitary Matrix Spaces
• (KK)-Properties, Normal Structure and Fixed Points of Nonexpansive Mappings in Orlicz Sequence Spaces
• The Lifting of the UKK Property from E to C E
• A uniform Kadec-Klee property for symmetric operator spaces
• Characterizations of Kadec-Klee properties in symmetric spaces of measurable functions

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