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Spectral Characterization Of Sums Of Commutators II

open access: yes, 1998
For countably generated ideals, J , of B(H), geometric stability is necessary for the canonical spectral characterization of sums of (J ; B(H))-commutators to hold. This answers a question raised by Dykema, Figiel, Weiss and Wodzicki.
N. J. Kalton, K. J. Dykema
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Rings and C*-algebras generated by commutators ☆

open access: yes
We show that a unital ring is generated by its commutators as an ideal if and only if there exists a natural number N such that every element is a sum of N products of pairs of commutators.
Thiel, Hannes,, Gardella, Eusebio,
core   +1 more source

Commutators and commutator subgroups

open access: yesAdvances in Mathematics, 1982
openaire   +1 more source

ON SINGLE COMMUTATORS IN II1-FACTORS

open access: yes, 2012
We investigate the question of whether all elements of trace zero in a II1-factor are single commutators. We show that all nilpotent elements are single commutators, as are all normal elements of trace zero whose spectral distributions are discrete ...

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