Trace-class operators and commutators

DOI10.1016/0022-1236(89)90064-5zbMath0684.47017OpenAlexW2068882164WikidataQ56689635 ScholiaQ56689635MaRDI QIDQ1825424

Nigel J. Kalton

Publication date: 1989

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(89)90064-5

zbMATH Keywords

twisted sums of Banach spacesSchatten p-classescommutator spacequasi-nilpotent trace- class operatorstrace-class commutatorstwo-sided ideals in the algebra of bounded operators

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Abstract operator algebras on Hilbert spaces (47L30) Commutators, derivations, elementary operators, etc. (47B47)

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Twisting non-commutative \(L^{p}\) spaces ⋮ Traces, ideals, and arithmetic means ⋮ The twisted Hilbert space ideals ⋮ Obituary: Nigel John Kalton, 1946-2010 ⋮ An infinite dimensional Schur-Horn theorem and majorization theory ⋮ Mathematical Models of Topologically Protected Transport in Twisted Bilayer Graphene ⋮ Sums of commutators in non-commutative Banach function spaces. ⋮ Advances in Dixmier traces and applications ⋮ Nonlinear centralizers in homology. II: The Schatten classes ⋮ Sums of commutators in ideals and modules of type II factors. ⋮ A remark about twisting Schatten classes ⋮ On strictly singular nonlinear centralizers ⋮ Commutator structure of operator ideals

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