Which Operators are the Self-Commutators of Compact Operators?

DOI10.2307/2042145zbMath0442.47024OpenAlexW4247138120MaRDI QIDQ3884679

Peng Fan, Che-Kao Fong

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2042145

zbMATH Keywords

tracecompact operatorself-commutator

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Commutators, derivations, elementary operators, etc. (47B47)

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Convexity of the orbit-closed C-numerical range and majorization, On the Diagonal of an Operator, Normal operators with\cr highly incompatible off-diagonal corners, Advances in Dixmier traces and applications, Produits finis de commutateurs dans les \(C^*\)-algèbres, Norm estimates related to self-commutators

Cites Work

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• Hyponormal operators
• On commutators in ideals of compact operators
• Real parts of quasi-nilpotent operators
• Commutators of Operators on Hilbert Space