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On perturbation of semi-Noether operators in incomplete spaces. I

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Abstract

The perturbation problem is considered for a semi-Noether operator under minimal assumptions imposed on given spaces.

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References

  1. T. Kato,Perturbation Theory for Linear Operators [Russian translation], Mir, Moscow (1972).

    Google Scholar 

  2. S. G. Krein,Linear Equations in Banach Space [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  3. A. Robertson and W. Robertson,Topological Vector Spaces [Russian translation], Mir, Moscow (1967)

    Google Scholar 

  4. E. Edwards,Funtional Analysis [Russian translation], Mir, Moscow (1969).

    Google Scholar 

  5. D. Przeworska-Rolewisz and S. Rolewisz,Equations in Linear Spaces, Warszawa, (1968).

  6. Le Quang Chu., “Duality and Perturbations of Φ+ and Φ-Operators,“ Indiana Univ. Math. J.,26, No. 5, 905–914, (1977).

    Google Scholar 

  7. R. Mennicken and B. Sagraloff, “Störungstheoretishe Untershungen über Semi-Fredholmpaare und Operatoren in lokal konvexen VektorrÄumen. II,“J. Reine Angew. Math.,303/304, 389–436, (1978).

    Google Scholar 

  8. S. N. Krachkovskii and A. S. Dikanskii, “Fredholm operators and their generalizations,“ in:Itogi Nauki i Tekhniki, Ser. Mat. Analiz, 1968 [in Russian], VINITI, Moscow (1969), pp. 39–71.

    Google Scholar 

  9. A. A. Babaev and V. V. Salaev, “Boundary-value problems and singular equations on a rectifiable contour,“Mat. Zametki,31, No. 4, 571–580 (1982).

    Google Scholar 

  10. S. A. Plaksa, “On the Noetherian property of singular integral equations on a rectifiable curve,“ in:Dokl. Rasshir. Zasedanii Seminara Inst. Prikl. Mat. Im. I.N. Vekua, Tbilisi, April 1990 [in Russian], Tbilisi University,5, No. 1, 161–164 (1990).

    Google Scholar 

  11. F. Riesz, “On the linear functional equations,“Uspekhi Mat. Nauk, No. 1, 175–199 (1936).

    Google Scholar 

  12. J. Schauder, “Uber linear, vollstetige Funktionaloperatoren,“Studia Math.,2, 183–196 (1930).

    Google Scholar 

  13. W. Robertson, “Completions of topological vector spaces,“Proc. London. Math. Soc.,8, 242–257, (1958).

    Google Scholar 

  14. F. D. Gakhov,Boundary-Value Problems [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  15. N. I. Muskhelishvili,Singular Integral Equations [in Russian], Nauka, Moscow (1968).

    Google Scholar 

  16. S. A. Plaksa,Singular Integral Equations on a Rectifiable Curve [in Russian], Preprint 89.7, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1989).

    Google Scholar 

  17. M. A. Goldman and S. N. Krachkovskii, “On products, powers, and restrictions of homomorphisms,“Dokl. Akad. Nauk SSSR,181, No. 5, 1038–1041 (1968).

    Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 2, pp. 270–278, February, 1993.

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Plaksa, S.A. On perturbation of semi-Noether operators in incomplete spaces. I. Ukr Math J 45, 290–298 (1993). https://doi.org/10.1007/BF01060986

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