$B(H)$-Commutators: A Historical Survey II and recent advances on commutators of compact operators

zbMath1313.47074arXiv1303.4844MaRDI QIDQ5498736

Daniel Beltiţă, Sasmita Patnaik, Gary Weiss

Publication date: 10 February 2015

Full work available at URL: https://arxiv.org/abs/1303.4844

zbMATH Keywords

traceHilbert-Schmidt classcommutator idealsidealscommutatorstrace classself-commutatorsclassical Lie algebras

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) Infinite-dimensional Lie (super)algebras (17B65) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Operator ideals (47L20) Root systems (17B22)

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Nilpotent elements of operator ideals as single commutators

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