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Unitary spectrum of a contraction in Banach space

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Literature cited

  1. J. Wermer, “On invariant subspaces of normal operators,” Proc. Amer. Math. Soc.,3, No. 2, 270–277 (1952).

    Google Scholar 

  2. I. M. Glazman and Yu. I. Lyubich, Finite-Dimensional Linear Analysis [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  3. M. A. Krasnosel'skii, “A spectral property of linear completely continuous operators in a space of continuous functions,” in: Problems of Mathematical Analysis for Complex Systems [in Russian], No. 2, Izd. VGU, Voronezh (1968), pp. 68–71.

    Google Scholar 

  4. Yu. I. Lyubich, “On the boundary spectrum of contractions in Minkowski spaces,” Sibirsk. Matem. Zh.,11, No. 2, 358–369 (1970).

    Google Scholar 

  5. E. R. Lorch, “The integral representation of weakly almost-periodic transformations in reflexive vector spaces,” Trans. Amer. Math. Soc.,49, 18–40 (1941).

    Google Scholar 

  6. K. de Leeuw and I. Glicksberg, “Applications of almost-periodic compactifications,” Acta Math.,105, Nos. 1–2, 63–97 (1961).

    Google Scholar 

  7. Yu. I. Lyubich, “Almost-periodic functions in the spectral analysis of operators,” Dokl. Akad. Nauk SSSR,132, No. 3, 518–520 (1960).

    Google Scholar 

  8. Yu. I. Lyubich, “Completeness conditions for the system of eigenvectors of a correct operator,” Usp. Matem. Nauk,18, No. 1, 163–171 (1963).

    Google Scholar 

  9. Yu. I. Lyubich, “Conservative operators,” Usp. Matem. Nauk,20, No. 5, 221–225 (1965).

    Google Scholar 

  10. N. K. Nikol'skii, “Spectral analysis on the unitary spectrum; the point spectrum,” Dokl. Akad. Nauk SSSR,199, No. 3 (1971).

  11. A. S. Markus, “Completeness criteria for the system of root vectors of a linear operator in Banach space,” Matem. Sborn.,70(112), No. 4, 526–561 (1966).

    Google Scholar 

  12. N. Dunford and J. T. Schwartz, Linear Operators, Vol. 1: General Theory, Interscience (1958).

  13. B. M. Levitan, Almost-Periodic Functions [in Russian], Gostekhizdat, Moscow (1953).

    Google Scholar 

  14. I. M. Gel'fand, “Zur Theorie der Charaktere der Abelschen topologischen Gruppen,” Matem. Sborn.,9(51), 49–50 (1941).

    Google Scholar 

  15. E. Hille and R. S. Phillips, Functional Analysis and Semi-Groups, Amer. Math. Soc., Providence, R. I. (1957).

    Google Scholar 

  16. D. Koehler and P. Rosenthal, “On isometries of normed linear spaces,” Studia Math.,36, No. 3, 213–216 (1970).

    Google Scholar 

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Authors
  1. A. S. Markus
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  2. L. N. Nikol'skaya
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  3. N. K. Nikol'skii
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 22, pp. 65–74, 1971.

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Markus, A.S., Nikol'skaya, L.N. & Nikol'skii, N.K. Unitary spectrum of a contraction in Banach space. J Math Sci 2, 112–119 (1974). https://doi.org/10.1007/BF01099669

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  • DOI: https://doi.org/10.1007/BF01099669

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