Abstract. It is shown that given a co-hyponormal and quasitriangular operator $T$ with connected spectrum, there exists a compact $K$ such that $T+K$ is strongly irreducible. Using the above result, we prove that every analytic {\it Toeplitz operator} on Bergman space $L_a^2({\cal B}_{n}, dv)$ is the sum of a strongly irreducible Toeplitz operator and a Berezin perturbation, where ${\cal B}_{n}$ is the unite ball of complex n-dimensional space and $n\geq1$.
AMS Subject Classification
(1991): 47A10, 47A55, 47A58
Keyword(s):
hyponormal operaters,
Berezin perturbation,
Strongly irreducible operator
Received July 7, 1997 and in revised form November 14, 1997. (Registered under 2659/2009.)
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