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Matematicheskie Zametki, 1975, Volume 17, Issue 1, Pages 41–48 (Mi mzm7221)  

This article is cited in 79 scientific papers (total in 79 papers)

Extensions of symmetric operators and symmetric binary relations

A. N. Kochubei
Abstract: Various classes of extensions of symmetric operators with equal (finite or infinite) defect numbers are described in terms of abstract boundary conditions. The dual problem of the description of extensions of a symmetric binary relation is also considered.
Received: 20.02.1974
English version:
Mathematical Notes, 1975, Volume 17, Issue 1, Pages 25–28
DOI: https://doi.org/10.1007/BF01093837
Bibliographic databases:
UDC: 513.88
Language: Russian
Citation: A. N. Kochubei, “Extensions of symmetric operators and symmetric binary relations”, Mat. Zametki, 17:1 (1975), 41–48; Math. Notes, 17:1 (1975), 25–28
Citation in format AMSBIB
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\by A.~N.~Kochubei
\paper Extensions of symmetric operators and symmetric binary relations
\jour Mat. Zametki
\yr 1975
\vol 17
\issue 1
\pages 41--48
\mathnet{http://mi.mathnet.ru/mzm7221}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=365218}
\zmath{https://zbmath.org/?q=an:0322.47006}
\transl
\jour Math. Notes
\yr 1975
\vol 17
\issue 1
\pages 25--28
\crossref{https://doi.org/10.1007/BF01093837}
Linking options:
  • https://www.mathnet.ru/eng/mzm7221
  • https://www.mathnet.ru/eng/mzm/v17/i1/p41
  • This publication is cited in the following 79 articles:
    1. Pavel Kurasov, Operator Theory: Advances and Applications, 293, Spectral Geometry of Graphs, 2024, 29  crossref
    2. Kirill D. Cherednichenko, Yulia Yu. Ershova, Alexander V. Kiselev, “Norm-Resolvent Convergence for Neumann Laplacians on Manifold Thinning to Graphs”, Mathematics, 12:8 (2024), 1161  crossref
    3. Alexander V. Kiselev, Kirill Ryadovkin, “Phase Transition in a Periodic Tubular Structure”, SIAM J. Appl. Math., 84:3 (2024), 890  crossref
    4. Volodymyr Derkach, Harry Dym, “Entire Symmetric Operators in de Branges–Pontryagin Spaces and a Truncated Matrix Moment Problem”, Complex Anal. Oper. Theory, 18:7 (2024)  crossref
    5. Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo, “Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions”, J. Phys. A: Math. Theor., 56:32 (2023), 325201  crossref
    6. O. H. Storozh, “Maximally Accretive and Nonnegative Extensions of a Nonnegative Linear Relation”, J Math Sci, 270:1 (2023), 1  crossref
    7. B. Malcolm Brown, Marco Marletta, Ian Wood, Operator Theory: Advances and Applications, 291, From Complex Analysis to Operator Theory: A Panorama, 2023, 3  crossref
    8. Kirill D. Cherednichenko, Yulia Yu. Ershova, Alexander V. Kiselev, Vladimir A. Ryzhov, Luis O. Silva, Operator Theory: Advances and Applications, 291, From Complex Analysis to Operator Theory: A Panorama, 2023, 239  crossref
    9. Vladislav Bruk, “Generalized resolvents of linear relations generated by integral equations with operator measures”, Filomat, 36:14 (2022), 4793  crossref
    10. Matthias Eller, Illya M. Karabash, “M-dissipative boundary conditions and boundary tuples for Maxwell operators”, Journal of Differential Equations, 325 (2022), 82  crossref
    11. Konrad Schmüdgen, “Adjoint pairs and unbounded normal operators”, Acta Sci. Math. (Szeged), 88:1-2 (2022), 449  crossref
    12. Baidiuk D., Derkach V., Hassi S., “Unitary Boundary Pairs For Isometric Operators in Pontryagin Spaces and Generalized Coresolvents”, Complex Anal. Oper. Theory, 15:2 (2021), 32  crossref  isi
    13. D. V. Tretyakov, Yu. L. Kudryashov, “Ob obschem podkhode k postroeniyu samosopryazhennoi dilatatsii dissipativnogo operatora”, Issledovaniya po lineinym operatoram i teorii funktsii. 49, Zap. nauchn. sem. POMI, 503, POMI, SPb., 2021, 121–136  mathnet
    14. Bilender PAŞAOĞLU, Hüseyin TUNA, Yüksel YALÇINKAYA, “On the Dissipative Extensions of the Conformable Fractional Sturm-Liouville Operator”, Turkish Journal of Mathematics and Computer Science, 13:1 (2021), 1  crossref
    15. V. M. Bruk, “On self-adjoint and invertible linear relations generated by integral equations”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2020, no. 1, 106–121  mathnet
    16. Goriunov A., “Multi-Interval Sturm-Liouville Problems With Distributional Coefficients”, Methods Funct. Anal. Topol., 26:2 (2020), 103–110  crossref  isi
    17. Vladislav M. Bruk, “Dissipative extensions of linear relations generated by integral equations with operator measures”, Zhurn. matem. fiz., anal., geom., 16:4 (2020), 381–401  mathnet  crossref
    18. O. G. Storozh, “Maximal accretive and nonnegative extensions of nonnegative linear relation”, Mat. Met. Fiz. Mekh. Polya, 63:1 (2020)  crossref
    19. A.S. Goriunov, “Multi-interval dissipative Sturm–Liouville boundary-value problems with distributional coefficients”, Dopov. Nac. akad. nauk Ukr., 2020, no. 7, 10  crossref
    20. Allahverdiev B.P., “Spectral Analysis of Singular Matrix-Valued Sturm-Liouville Operators”, Mediterr. J. Math., 16:4 (2019), 83  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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