Similarity invariant subspaces and lie ideals in operator algebras

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1 Scopus citations


We study subspaces of algebra L(X) which are invariant with respect to all similarity transformations and give a full description of these subspaces for finite-dimensional space X, for separable Hilbert space X and for X = lp (1 ≤ p < ∞) or c0. The problem is equivalent to a study of Lie ideals in L(X).

Original languageEnglish
Pages (from-to)127-137
Number of pages11
JournalIntegral Equations and Operator Theory
Issue number2
StatePublished - 3 Dec 2002

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory


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