Ken Dykema, Tadeusz Figiel, Gary Weiss, Mariusz Wodzicki
Commutator Structure of Operator Ideals
Preprint series: ESI preprints

MSC:

47D25 Operator algebras on Hilbert space

47B47 Commutators, derivations, elementary operators, etc.

47D50 Operator ideals

Abstract: An exhaustive description of the commutator structure of
operator ideals on a Hilbert space is given. The results
of this article will have far reaching applications to
Noncommutative Geometry, theory of higher index invariants
and Mathematical Physics.
Keywords: operator theory, operator ideals, commutator spaces