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Recueil Mathématique (Nouvelle série), 1947, Volume 20(62), Number 3, Pages 431–495 (Mi sm6224)  

This article is cited in 51 scientific papers (total in 51 papers)

The theory of self-adjoint extensions of somi-bcunded Hermitian transformations and its applications. I

M. Krein
Received: 23.05.1946
Bibliographic databases:
Language: Russian
Citation: M. Krein, “The theory of self-adjoint extensions of somi-bcunded Hermitian transformations and its applications. I”, Sb. Math., 62:3 (1947)
Citation in format AMSBIB
\Bibitem{Kre47}
\by M.~Krein
\paper The theory of self-adjoint extensions of somi-bcunded Hermitian transformations and its applications.~I
\jour Sb. Math.
\yr 1947
\vol 62
\issue 3
\mathnet{http://mi.mathnet.ru//eng/sm6224}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=24574}
\zmath{https://zbmath.org/?q=an:0029.14103}
Linking options:
  • https://www.mathnet.ru/eng/sm6224
  • https://www.mathnet.ru/eng/sm/v62/i3/p431
    Cycle of papers
    This publication is cited in the following 51 articles:
    1. M. M. Malamud, “On the Birman problem in the theory of nonnegative symmetric operators with compact inverse”, Funct. Anal. Appl., 57:2 (2023), 173–177  mathnet  crossref  crossref
    2. M. Malamud, “To Birman–Krein–Vishik theory”, Dokl. Math., 107:1 (2023), 44–48  mathnet  crossref  crossref  elib
    3. A. V. Kiselev, L. O. Silva, K. D. Cherednichenko, “Operator-Norm Resolvent Asymptotic Analysis of Continuous Media with High-Contrast Inclusions”, Math. Notes, 111:3 (2022), 373–387  mathnet  crossref  crossref  mathscinet
    4. Arlinskii Yu.M., “Cloning of Symmetric Operators”, Complex Anal. Oper. Theory, 15:1 (2021), 8  crossref  isi
    5. M. M. Malamud, V. V. Marchenko, “Invariant Schrödinger Operators with Point Interactions at the Vertices of a Regular Polyhedron”, Math. Notes, 110:3 (2021), 463–469  mathnet  crossref  crossref  isi  elib
    6. T. A. Bolokhov, “Regulyarizatsiya Pauli–Villarsa dlya nekotorykh modelei s singulyarnym vzaimodeistviem”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 28, Zap. nauchn. sem. POMI, 509, POMI, SPb., 2021, 54–70  mathnet
    7. Cherednichenko K.D. Ershova Yu.Yu. Kiselev V A., “Effective Behaviour of Critical-Contrast Pdes: Micro-Resonances, Frequency Conversion, and Time Dispersive Properties. i”, Commun. Math. Phys., 375:3 (2020), 1833–1884  crossref  isi
    8. 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
    9. I. N. Parasidis, “Extension and decomposition method for differential and integro-differential equations”, Eurasian Math. J., 10:3 (2019), 48–67  mathnet  crossref
    10. Fischbacher Ch., “A Birman-Krein-Vishik-Grubb Theory For Sectorial Operators”, Complex Anal. Oper. Theory, 13:8 (2019), 3623–3658  crossref  isi
    11. Parasidis I.N., “Extension Method For a Class of Loaded Differential Equations With Nonlocal Integral Boundary Conditions”, Bull. Karaganda Univ-Math., 96:4 (2019), 58–68  crossref  isi
    12. T. A. Bolokhov, “Resolvents of selfadjoint extensions of the Laplace operator on the solenoidal subspace”, J. Math. Sci. (N. Y.), 243:6 (2019), 835–840  mathnet  crossref
    13. T. A. Bolokhov, “Scalar products for the regular analytic vectors of the Laplace operator in the solenoidal subspace”, J. Math. Sci. (N. Y.), 242:5 (2019), 642–650  mathnet  crossref
    14. Yury Arlinskiǐ, Andrey Popov, “On m-sectorial extensions of sectorial operators”, Zhurn. matem. fiz., anal., geom., 13:3 (2017), 205–241  mathnet  crossref
    15. T. A. Bolokhov, “Homogeneous extensions of the quadratic form of Laplace operator for the field interacting with two point-like particles”, J. Math. Sci. (N. Y.), 238:6 (2019), 793–803  mathnet  crossref
    16. K. A. Makarov, È. R. Tsekanovskii, “Dissipative and nonunitary solutions of operator commutation relations”, Theoret. and Math. Phys., 186:1 (2016), 41–60  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    17. Arov D.Z. Kaashoek M.A. Pik D.R., “Generalized Solutions of Riccati Equalities and Inequalities”, Methods Funct. Anal. Topol., 22:2 (2016), 95–116  mathscinet  zmath  isi
    18. T. A. Bolokhov, “Extensions of the quadratic form of the transverse Laplace operator”, J. Math. Sci. (N. Y.), 213:5 (2016), 671–693  mathnet  crossref  mathscinet
    19. M. É. Muminov, T. Kh. Rasulov, “An eigenvalue multiplicity formula for the Schur complement of a 3×3 block operator matrix”, Siberian Math. J., 56:4 (2015), 699–713  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    20. V. M. Bruk, “Dissipative expansions of a symmetric relation generated by a system of integral equations with operator measures”, Russian Math. (Iz. VUZ), 58:12 (2014), 7–22  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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