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Complete controllability and spectrum assignment in infinite dimensional spaces

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References

  1. N.N. Krasovskii, The Theory of Control by Motion, Moskow, 1960 (Russian).

  2. V.M. Popov, Hyperstability of Automatic Systems, Moskow, 1970 (Russian).

  3. W.M. Wonham, Linear Multivariable Control: a geometric approach, Springer-Verlag, Berlin, 1979.

    Google Scholar 

  4. V.I. Korobov and R. Rabakh, Exact controllability in Banach space, Dif. Equations 15 (1979), 1531–1537.

    Google Scholar 

  5. G. Eckstein, Exact controllability and spectrum assignment in “Topics in Modern Operator Theory”, Birkhäuser, Basel, 1981, 81–94.

    Google Scholar 

  6. M.A. Kaashoek, C.V.M. van der Mee and L. Rodman, Analytic operator functions with compact spectrum III. Hilbert space case: inverse problem and applications, J. Operator Theory 10 (1983), 219–250.

    Google Scholar 

  7. K. Takahashi, Exact controllability and spectrum assignment, J. Math. Anal. and Appl. 104 (1984), 537–545.

    Google Scholar 

  8. M.L.J. Hautus, Controllability and observability conditions of linear autonomous systems, Indag. Math. 31 (1969), 443–448.

    Google Scholar 

  9. J. Leiterer, Banach coherent analytic Fréchet sheaves, Math. Nachr. 85 (1978), 91–109.

    Google Scholar 

  10. K. Astala and H.-O. Tylli, On semi-Fredholm operators and the Calkin algebra, J. London Math. Soc. 34 (1986), 541–551.

    Google Scholar 

  11. J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces I, Springer-Verlag, Berlin, 1977.

    Google Scholar 

  12. G. Bennett, Lectures on matrix transformations of ℓp spaces, in “Notes in Banach spaces”, Austin, London, 1980, 39–80.

    Google Scholar 

  13. J. Diestel, Sequences and Series in Banach Spaces, Springer-Verlag, Berlin, 1984.

    Google Scholar 

  14. A. Pelczynski, Projections in certain Banach spaces, Studia Math. 19 (1960), 209–228.

    Google Scholar 

  15. N. Dunford and J.T. Schwarz, Linear operators I, Wiley-Interscience, New York, 1958.

    Google Scholar 

  16. M.A. Kaashoek, C.V.M. van der Mee and L. Rodman, Analytic operator functions with compact spectrum II. Spectral pairs and factorization, Integral Equations Operator Theory 5 (1982), 791–827.

    Google Scholar 

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This paper was originally published in Diferentjial'nye uravnenia i matematicheskaya fizika, Mat. Issled., 106(1989), 97–113, Kishinev, 1989 (Russian).

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Markus, A.S., Olshevsky, V.R. Complete controllability and spectrum assignment in infinite dimensional spaces. Integr equ oper theory 17, 107–122 (1993). https://doi.org/10.1007/BF01322549

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