A uniform Kadec-Klee property for symmetric operator spaces

DOI10.1017/S0305004100073813zbMath0847.46033arXivmath/9301201OpenAlexW2138415934MaRDI QIDQ4877631

Patrick N. Dowling, C. J. Lennard, Theresa K.-Y. Dodds, Peter G. Dodds, Pheodor A. Sukochev

Publication date: 21 May 1996

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

Full work available at URL: https://arxiv.org/abs/math/9301201

zbMATH Keywords

Banach latticesemifinite von Neumann algebrarearrangement invariant Banach function spaceLorentz function spacesuniform Kadec-Klee propertyfaithful, normal, semi-finite traceLorentz-Schatten classesspace of \(\tau\)-measurable operatorstopology of local convergence in measureUKK property

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) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

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