Geodesic
Perturbations of normal operators and stability of the continuous spectrum
Izvestiya. Mathematics , Tome 29 (1987) no. 3, pp. 535-558

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The problem of “filling holes” in the spectrum is considered for a given operator when it is perturbed by operators in various symmetrically normed operator ideals. The case of trace-class perturbations of normal operators is allotted a special place. Bibliography: 21 titles. 
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     author = {N. G. Makarov},
     title = {Perturbations of normal operators and stability of the continuous spectrum},
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N. G. Makarov. Perturbations of normal operators and stability of the continuous spectrum. Izvestiya. Mathematics , Tome 29 (1987) no. 3, pp. 535-558. http://geodesic.mathdoc.fr/item/IM2_1987_29_3_a2/