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Extensions of closed operators in Hilbert space

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Literature cited

  1. M. I. Vishik, “General boundary value problems for elliptic differential equations,” Tr. Mosk. Mat. Obshch., No. 1, 187–246 (1952).

    Google Scholar 

  2. G. Grubb, “A characterization of the nonlocal boundary value problems associated with an elliptic operator,” Ann. Sc. Norm. Sup. Pisa,22, 425–513 (1968).

    Google Scholar 

  3. A. N. Kochubei, “Extensions of a positive definite, symmetric operator,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 3, 168–171 (1979).

    Google Scholar 

  4. I. S. Iokhvidov, “On the boundedness of J-isometric operators,” Usp. Mat. Nauk,16, No. 4, 167–170 (1961).

    Google Scholar 

  5. R. Arens, “Operational calculus of linear relations,” Pac. J. Math.,11, No. 1, 9–23 (1961).

    Google Scholar 

  6. E. A. Coddington, “Self-adjoint subspace extensions of nondensely defined symmetric operators,” Adv. Math.,14, No. 3, 309–322 (1974).

    Google Scholar 

  7. T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag (1966).

  8. A. Pietsch, Nuclear Locally Convex Spaces, Springer-Verlag (1972).

  9. Yu. M. Berezanskii, Expansions in Eigenfunctions of Self-Adjoint Operators, Amer. Math. Soc. (1968).

  10. Yu. L. Daletskii, “Continual integrals connected with evolutionary operator equations,” Doctoral Dissertation, Moscow State Univ. (1963).

  11. S. G. Krein, Linear Differential Equations in Banach Space, Amer. Math. Soc. (1972).

  12. M. A. Naimark, Linear Differential Operators, Ungar.

  13. V. M. Bruk, “Spectral theory of differential equations with unbounded operator coefficients,” in: Functional Analysis [in Russian], No. 5, Ulyanovsk Pedagogic Institute (1975), pp. 14–24.

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Authors and Affiliations

  1. Kiev State University, USSR

    L. I. Vainerman

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  1. L. I. Vainerman
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Translated from Matematicheskie Zametki, Vol. 28, No. 6, pp. 833–842, December, 1980.

The author would like to thank A. N. Kochubei for some useful discussions.

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Vainerman, L.I. Extensions of closed operators in Hilbert space. Mathematical Notes of the Academy of Sciences of the USSR 28, 871–875 (1980). https://doi.org/10.1007/BF01709148

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  • DOI: https://doi.org/10.1007/BF01709148

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