Journal of Operator Theory
Volume 75, Issue 2, Spring 2016 pp. 387-408.
On the Lie ideals of $\Cstar$-algebras
Authors:
Leonel Robert
Author institution: Department of Mathematics, University of Louisiana at Lafayette,
Lafayette, 70506, U.S.A.
Summary: Various questions on Lie ideals of $\Cstar$-algebras are investigated.
They fall roughly under the following topics: relation of Lie ideals to closed two-sided
ideals; Lie ideals spanned by special classes of elements such as commutators, nilpotents,
and the range of polynomials; characterization of Lie ideals as similarity invariant subspaces.
DOI: http://dx.doi.org/10.7900/jot.2015may17.2070
Keywords: Lie ideals, $\Cstar$-algebras, commutators, nilpotents, polynomials,
similarity invariant subspaces
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