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On spectral properties of regular quasidefinite pencils F-λG

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References

  1. Atkinson, F. V., W. N. Everitt, K. S. Ong: On the m-coefficient of Weyl for a differential equation with an indefinite weight function. Proc. London Math. Soc. 29, 368–384 (1974)

    Article  MathSciNet  MATH  Google Scholar 

  2. Azizov, T. Ya., I. S. Iokhvidov: Linear operators in spaces with an indefinite metric. John Wiley & Sons, Chichester-New York-Brisbane-Toronto-Singapure, 1989

    MATH  Google Scholar 

  3. Bognár, J.: Indefinite inner product spaces. Springer Verlag, Berlin-Heidelberg-New York, 1974

    Book  MATH  Google Scholar 

  4. Dijksma, A.: Eigenfunction expansion for a class of J-selfadjoint ordinary differential operators with boundary conditions containing the eigenvalue parameter. Proc. Roy. Soc. Edinburgh, 86A, 1–27 (1980)

    Article  MathSciNet  MATH  Google Scholar 

  5. Daho, K., H. Langer: Sturm-Liouville operators with an indefinite weight function. Proc. Roy. Soc. Edinburgh, 78A, 161–191 (1977)

    MathSciNet  MATH  Google Scholar 

  6. Dijksma, A., H. Langer, H. de Snoo: Symmetric Sturm-Liouville operators with eigenvalue depending boundary conditions. CMS Conference Proceedings, Vol 8: Oscillation, Bifurcation, Chaos, 87–116 (1987)

    Google Scholar 

  7. Fulton, C. T.: Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions. Proc. Roy. Soc. Edingburgh, 77A, 293–308 (1977)

    Article  MathSciNet  MATH  Google Scholar 

  8. Ibrahim, R., B. D. Sleeman: A regular leftdefinite eigenvalue problem with eigenvalue parameter in the boundary conditions. Lecture Notes in Mathematics, 846, Proceedings, Dundee 1980, 158–167 (1981)

    Google Scholar 

  9. Langer, H.: Spectral functions of definitizable operators in Krein spaces. Lecture Notes in Mathematics, 948, Proceedings, Dubrovnik 1981, 1–46 (1982)

    MATH  Google Scholar 

  10. Schäfke, F. W.: Charakterisierung “kompakter” hermitescher Operatoren. Math. Ann. 262, 383–390 (1983)

    Article  MathSciNet  MATH  Google Scholar 

  11. Schäfke, F. W. und A. Schneider: S-hermitesche Rand-Eigenwertprobleme. I. Math. Ann., 162, 9–26, (1965)

    Article  MathSciNet  MATH  Google Scholar 

  12. Schäfke, F. W. und A. Schneider; S-hermitesche Rand-Eigenwertprobleme. II. Math. Ann. 165, 236–260, (1966)

    Article  MathSciNet  MATH  Google Scholar 

  13. Walter, J.: Regular eigenvalue problems with eigenvalue parameter in the boundary conditions. Math. Z. 133, 301–312 (1973)

    Article  MathSciNet  MATH  Google Scholar 

  14. Wielandt, H.: Über die Eigenwertaufgaben mit reellen diskreten Eigenwerten. Math. Nachr. 4, 308–314 (1951)

    Article  MathSciNet  MATH  Google Scholar 

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Herrn Prof. Dr. Dr. h. c. Helmut Wielandt zum 80. Geburtstag gewidmet

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Langer, H., Schneider, A. On spectral properties of regular quasidefinite pencils F-λG. Results. Math. 19, 89–109 (1991). https://doi.org/10.1007/BF03322419

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