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Biquasitriangular operators have strongly irreducible perturbations.

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<mark>Journal publication date</mark>09/2000
<mark>Journal</mark>The Quarterly Journal of Mathematics
Issue number3
Volume51
Number of pages17
Pages (from-to)353-369
<mark>State</mark>Published
<mark>Original language</mark>English

Abstract

We prove that if T is a biquasitriangular operator on a Hilbert space H with connected spectrum then T may be approximated by a strongly irreducible operator S with S _ T compact and small.