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Non-self-adjoint operators and their essential spectra

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Ordinary Differential Equations and Operators

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1032))

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References

  1. W. D. Evans, On the spectra of Schrödinger operators with a complex potential. Math. Ann. 255, 57–76 (1981).

    Article  MathSciNet  MATH  Google Scholar 

  2. ___, On the spectra of non-self-adjoint realisations of second-order elliptic operators. Proc. Roy. Soc. Edin. 90A, 71–105 (1981).

    Article  MATH  Google Scholar 

  3. W. D. Evans, M. Kwong and A. Zettl, Lower bounds for the spectrum of ordinary differential operators. To appear in J. Diff. Eqns.

    Google Scholar 

  4. W. N. Everitt and A. Zettl, Generalized symmetric differential equations I. The basic theory. Niew Archief. voor Wiskunde (3) XXVII, 363–397 (1979).

    MathSciNet  MATH  Google Scholar 

  5. I. M. Glazman, Direct Methods of Qualitative Spectral Analysis of Singular Differential Operators. (Israel Program of Scientific Translations: Jerusalem, 1965).

    MATH  Google Scholar 

  6. S. Goldberg, Unbounded Linear Operators. (McGraw-Hill: New York 1966).

    MATH  Google Scholar 

  7. K. Gustafson and J. Weidman, On the essential spectrum. J. Math. Anal. Appl. 25, 121–127 (1969).

    Article  MathSciNet  MATH  Google Scholar 

  8. P. Halmos, A Hilbert Space Problem Book. (Springer-Verlag: New York-Heidelberg 1974).

    Book  MATH  Google Scholar 

  9. T. Kato, Perturbation Theory of Linear Operators. (Springer-Verlag: Berlin 1966).

    Book  MATH  Google Scholar 

  10. M. Kwong and A. Zettl, Norm inequalities for dissipative operators on inner product spaces. Houston J. Math. 4, 543–557 (1979).

    MathSciNet  MATH  Google Scholar 

  11. H. P. Kupcov, Kolmogorov estimates for derivatives in L 2(0, ∞). Proc. Steklov Inst. Math. 138 (1975); Amer. Math. Soc. Transl., 101–125 (1977).

    MathSciNet  MATH  Google Scholar 

  12. A. Lebow and M. Schechter, Semigroups of operators and measures of non-compactness. J. Func. An. 7, 1–26 (1971).

    Article  MathSciNet  MATH  Google Scholar 

  13. R. T. Lewis, Applications of a comparison theorem for quasi-accretive operators in a Hilbert space. To appear in Lecture Notes in Mathematics (Springer-Verlag: Proceedings, Dundee, Scotland 1982).

    Google Scholar 

  14. Su. I. Ljubič, On inequalities between the powers of a linear operator. Amer. Math. Soc. Transl. Ser. 2, 40, 39–84 (1964).

    Article  Google Scholar 

  15. E. Müller-Pfeiffer, Spectral Theory of Ordinary Differential Operators. English Translation (Chichester: J. Wiley 1981)

    Google Scholar 

  16. M. A. Naimark, Linear Differential Operators, part II. (Ungar: New York 1968).

    MATH  Google Scholar 

  17. R. D. Nussbaum, Spectral mapping theorems and perturbation theorems for Browder's essential spectrum. Trans. Am. Math. Soc. 150, 445–455 (1970).

    MathSciNet  MATH  Google Scholar 

  18. T. Read, Sectorial second order differential operators. Manuscript.

    Google Scholar 

  19. M. Reed and B. Simon, Methods of Modern Mathematical Physics I: Functional Analysis. (Academic Press: New York, 1972).

    MATH  Google Scholar 

  20. ___, Methods of Modern Mathematical Physics IV: Analysis of Operators. (Academic Press: New York 1978).

    MATH  Google Scholar 

  21. M. Schechter, Spectra of Partial Differential Operators. (London: N. Holland, 1971).

    MATH  Google Scholar 

  22. J. Weidmann, Linear operators in Hilbert spaces. English translation. (Berlin: Springer-Verlag, 1980).

    Book  MATH  Google Scholar 

  23. F. Wolf, On the essential spectrum of partial differential boundary problems. Comm. Pure Appl. Math. 12, 211–228 (1959).

    Article  MathSciNet  MATH  Google Scholar 

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Authors
  1. W. D. Evans
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  2. R. T. Lewis
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  3. A. Zettl
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Editor information

W. N. Everitt R. T. Lewis

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Dedicated to Professor F. V. Atkinson

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© 1983 Springer-Verlag

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Evans, W.D., Lewis, R.T., Zettl, A. (1983). Non-self-adjoint operators and their essential spectra. In: Everitt, W.N., Lewis, R.T. (eds) Ordinary Differential Equations and Operators. Lecture Notes in Mathematics, vol 1032. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076796

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  • DOI: https://doi.org/10.1007/BFb0076796

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12702-4

  • Online ISBN: 978-3-540-38689-6

  • eBook Packages: Springer Book Archive

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