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Volumn 72, Issue 1-2, 2002, Pages 261-270

On the similarity of some differential operators to self-adjoint ones

Author keywords

Differential operator; Dirichlet problem; Neumann problem; Perturbation theory; Self adjoint operator; Similarity criterion

Indexed keywords


EID: 0141516542     PISSN: 00014346     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1019810314450     Document Type: Article
Times cited : (5)

References (13)
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  • 2
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    • Spectral function of definitizable operators in Krein spaces
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    • H. Langer, "Spectral function of definitizable operators in Krein spaces," in: Functional Analysis. Proceedings (Dubrovnik 1981), vol. 948, Lecture Notes in Math., Springer, Berlin, 1982, pp. 1-46.
    • (1982) Functional Analysis. Proceedings (Dubrovnik 1981) , vol.948 , pp. 1-46
    • Langer, H.1
  • 3
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    • On the similarity of some singular differential operators to self-adjoint ones
    • (S. V. Kislyakov, editor) [in Russian], POMI, St. Petersburg
    • M. M. Faddeev and R. G. Shterenberg, "On the similarity of some singular differential operators to self-adjoint ones," in: Studies in Linear Operators and Function Theory. 28 (Zapiski Nauchn. Sem. POMI) (S. V. Kislyakov, editor) [in Russian], vol. 270, POMI, St. Petersburg, 2000, pp. 336-349.
    • (2000) Studies in Linear Operators and Function Theory. 28 (Zapiski Nauchn. Sem. POMI) , vol.270 , pp. 336-349
    • Faddeev, M.M.1    Shterenberg, R.G.2
  • 4
    • 30044447403 scopus 로고    scopus 로고
    • On J-self-adjoint differential operators similar to self-adjoint operators
    • I. M. Karabash, "On J-self-adjoint differential operators similar to self-adjoint operators," Mat. Zametki [Math. Notes], 68 (2000), no. 6, 943-944.
    • (2000) Mat. Zametki [Math. Notes] , vol.68 , Issue.6 , pp. 943-944
    • Karabash, I.M.1
  • 5
    • 0141434416 scopus 로고    scopus 로고
    • On the similarity of a triangular operator to a diagonal one
    • (S. V. Kislyakov, editor) [in Russian], POMI, St. Petersburg
    • M. M. Malamud, "On the similarity of a triangular operator to a diagonal one," in: Studies in Linear Operators and Function Theory. 28 (Zapiski Nauchn. Sem. POMI) (S. V. Kislyakov, editor) [in Russian], vol. 270, POMI, St. Petersburg, 2000, pp. 201-241.
    • (2000) Studies in Linear Operators and Function Theory. 28 (Zapiski Nauchn. Sem. POMI) , vol.270 , pp. 201-241
    • Malamud, M.M.1
  • 8
    • 84972563255 scopus 로고
    • Operators similar to unitary or self-adjoint ones
    • J. Van Casteren, "Operators similar to unitary or self-adjoint ones," Pacific J. Math., 104 (1983), 241-255.
    • (1983) Pacific J. Math. , vol.104 , pp. 241-255
    • Casteren, J.V.1
  • 9
    • 19944389952 scopus 로고
    • On the conditions for similarity to unitary and self-adjoint operators
    • S. N. Naboko, "On the conditions for similarity to unitary and self-adjoint operators," Funktsional. Anal. i Prilozhen. [Functional Anal. Appl.], 18 (1984), no. 1, 16-27.
    • (1984) Funktsional. Anal. i Prilozhen. [Functional Anal. Appl.] , vol.18 , Issue.1 , pp. 16-27
    • Naboko, S.N.1
  • 11
    • 0141546156 scopus 로고
    • On the expansion in principal functions of a non-self-adjoint differential operator of second order on the whole axis
    • V. V. Blashchak, "On the expansion in principal functions of a non-self-adjoint differential operator of second order on the whole axis," Dokl. AN URSR (1965), no. 4, 416-419.
    • (1965) Dokl. AN URSR , vol.4 , pp. 416-419
    • Blashchak, V.V.1
  • 12
    • 0141546154 scopus 로고
    • On a differential operator of second order on the whole axis with spectral singularities
    • V. V. Blashchak, "On a differential operator of second order on the whole axis with spectral singularities," Dokl. AN URSR (1966), no. 1, 38-41.
    • (1966) Dokl. AN URSR , vol.1 , pp. 38-41
    • Blashchak, V.V.1
  • 13
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    • On a non-self-adjoint differential operator of second order on the semiaxis
    • V. É. Lyantse, "On a non-self-adjoint differential operator of second order on the semiaxis," Dokl. Akad. Nauk SSSR [Soviet Math. Dokl.], 154 (1964), no. 5, 1030-1033.
    • (1964) Dokl. Akad. Nauk SSSR [Soviet Math. Dokl.] , vol.154 , Issue.5 , pp. 1030-1033
    • Lyantse, V.É.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.