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The Quarterly Journal of Mathematics 2000 51(3):353-369; doi:10.1093/qjmath/51.3.353
© 2000 by Oxford University Press
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Biquasitriangular Operators have Strongly Irreducible Perturbations

Chun Lan Jiang1, Stephen C. Power2 and Zong Yao Wang3

1 Department of Applied Mathematics and Physics, He Bei University of Technology, Tian Jin, 300103, P. R. China 2 Department of Mathematics and Statistics, Lancaster University, Lancaster, LA1 4YF, 3 Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, P. R. China

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.

Received 12 May, 1998. Revised 12 May, 1998.


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