Skip to main content
Log in

On the spectral singularities of the truncated shift

  • Published:
Acta Mathematica Hungarica Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. I. Bacalu, Masuri spectrale reziduale,Studii Cerc. Mat.,27 (1975), 377–379.

    Google Scholar 

  2. I. Colojoara and C. Foias,Theory of generalized spectral operators, Gordon and Breach (New York, 1968).

    Google Scholar 

  3. N. Dunford and J. T. Schwartz,Linear operators, Part I (1958), Part III (1971), Wiley-Interscience (New York).

    Google Scholar 

  4. C. Foias, The classC 0 in the theory of decomposable operators,Rev. Roum. Math. Pures Appl.,14 (1969), 1433–1440.

    Google Scholar 

  5. C. Foias, On the scalar parts of a decomposable operator,Rev. Roum. Math. Pures Appl.,17 (1972), 1182–1198.

    Google Scholar 

  6. K. Hoffmann,Banach spaces of analytic functions, Prentice-Hall (Englewood Cliffs, 1962).

    Google Scholar 

  7. V. E. Kacnelson, On the conditions of basicity of a system of root vectors of some classes of operators,Funct. Anal. i ego Prilozh.,1 (1967), 39–51 (in Russian).

    Google Scholar 

  8. M. G. Krein and H. Langer, On the spectral function of a selfadjoint operator in a space with an indefinite metric,Doklady AN SSSR,152 (1963), 39–42 (in Russian).

    Google Scholar 

  9. V. E. Ljance, On a generalization of the notion of a spectral measure,Mat. Sbornik,61 (1963), 80–120 (in Russian).

    Google Scholar 

  10. V. E. Ljance, On a differential operator with spectral singularities, I,Mat. Sbornik,64 (1964), 521–561 (in Russian).

    Google Scholar 

  11. B. Nagy, Residually spectral operators,Acta Math. Acad. Sci. Hungar.,35 (1980), 37–48.

    Google Scholar 

  12. B. Nagy, Operators with spectral singularities,Journal of Operator Theory,15 (1986), 307–325.

    Google Scholar 

  13. M. A. Naimark, A study of the spectrum and eigenfunction expansion of a non-selfadjoint second order differential operator on the half-line,Trudy Mosk. Mat. Obsh.,3 (1954), 181–270 (in Russian).

    Google Scholar 

  14. N. K. Nikolskiy,Lectures on the shift operator, Nauka (Moscow, 1980) (in Russian).

    Google Scholar 

  15. B. S. Pavlov, On the non-selfadjoint operator −y″+q(x)y on the half-line,Doklady AN SSSR,141 (1961), 807–810 (in Russian).

    Google Scholar 

  16. B. S. Pavlov, On the spectral theory of non-selfadjoint differential operators,Doklady AN SSSR,146 (1962), 1267–1270 (in Russian).

    Google Scholar 

  17. J. T. Schwartz, Some non-selfadjoint operators,Comm. Pure Appl. Math.,13 (1960), 609–639.

    Google Scholar 

  18. B. Sz.-Nagy and C. Foias,Harmonic analysis of operators on Hilbert space, North Holland (Amsterdam, 1970).

    Google Scholar 

  19. V. I. Vasyunin, Unconditionally convergent spectral decompositions and problems of interpolation,Trudy Mat. Inst. Steklov AN SSSR,130 (1977), 5–49 (in Russian).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nagy, B. On the spectral singularities of the truncated shift. Acta Math Hung 51, 225–237 (1988). https://doi.org/10.1007/BF01903634

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01903634

Keywords

Navigation