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Stability of unicellularity for analytic perturbations of class Ω +○

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Literature cited

  1. I. Ts. Gokhberg and M. G. Krein, Theory of Volterra Operators in Hilbert Space [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  2. B. Sz.-Nagy and C. Foias, Analyse Harmonique des Operateurs de l'Espace de Hilbert, Budapest (1967).

  3. N. K. Nikol'skii, “Invariant subspaces of weighted shift operators,” Matem. Sborn.,74 (116), 171–190 (1967).

    Google Scholar 

  4. N. K. Nikol'skii, “Basicity and unicellularity of weighted shift operators,” Izv. Akad. Nauk SSSR, Ser. Matem.,32, 1123–1137 (1968).

    Google Scholar 

  5. N. K. Nikol'skii, “Invariant subspaces of certain completely continuous operators,” Vest. Leningrad. Univ., Ser. Matem.,2, No. 7, 68–77 (1965).

    Google Scholar 

  6. I. Ts. Gokhberg and O. I. Soibel'man, “Remarks on operator similarity,” Matem. Issled. (Kishinev),2, No. 3, 166–170 (1967).

    Google Scholar 

  7. O. I. Soibel'man, “On operator similarity,” Matem. Issled. (Kishinev),2, No. 4, 150–165 (1968).

    Google Scholar 

  8. M. S. Brodskii, Triangular and Jordan Representations of Linear Operators [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  9. N. Aronszajn and K. T. Smith, “Invariant subspaces of completely continuous operators,” Ann. of Math.,60 (1954).

  10. I. Ts. Gokhberg, “On linear operators analytically dependent on a parameter,” Dokl. Akad. Nauk SSSR,78, No. 4, 629–632 (1951).

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Authors
  1. N. K. Nikol'skii
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 22, pp. 89–93, 1971.

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Nikol'skii, N.K. Stability of unicellularity for analytic perturbations of class Ω +○ . J Math Sci 2, 131–134 (1974). https://doi.org/10.1007/BF01099671

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  • DOI: https://doi.org/10.1007/BF01099671

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