메뉴 건너뛰기




Volumn 34, Issue 1, 2003, Pages 228-238

Triple variational principles for eigenvalues of self-adjoint operators and operator functions

Author keywords

Eigenvalue; Operator pencil; Variational principle

Indexed keywords


EID: 0037282082     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141001387744     Document Type: Article
Times cited : (9)

References (14)
  • 1
    • 0007110129 scopus 로고
    • Eigenvalues of a Sturm-Liouville problem depending rationally on the eigenvalue parameter
    • [ALM], Akademie Verlag, Berlin
    • [ALM] V. ADAMYAN, H. LANGER, AND R. MENNICKEN, Eigenvalues of a Sturm-Liouville problem depending rationally on the eigenvalue parameter, Math. Res. 79, Akademie Verlag, Berlin, 1994, pp. 589-594.
    • (1994) Math. Res. , vol.79 , pp. 589-594
    • Adamyan, V.1    Langer, H.2    Mennicken, R.3
  • 4
    • 0034366427 scopus 로고    scopus 로고
    • Variational principles for real eigenvalues of self-adjoint operator pencils
    • [BEL]
    • [BEL] P. BINDING, D. ESCHWÉ, AND H. LANGER, Variational principles for real eigenvalues of self-adjoint operator pencils, Integral Equations Operator Theory, 38 (2000), pp. 190-206.
    • (2000) Integral Equations Operator Theory , vol.38 , pp. 190-206
    • Binding, P.1    Eschwé, D.2    Langer, H.3
  • 5
    • 0003301335 scopus 로고
    • Introduction to the theory of linear Nonselfadjoint operators
    • [OK], AMS, Providence, RI
    • [OK] I.C. OOHBERG AND M. G. KREǏN, Introduction to the Theory of Linear Nonselfadjoint Operators, Transl. Math. Monogr. 18, AMS, Providence, RI, 1969.
    • (1969) Transl. Math. Monogr. , vol.18
    • Oohberg, I.C.1    Kreǐn, M.G.2
  • 6
    • 0000060563 scopus 로고    scopus 로고
    • A minimax principle for the eigenvalues in spectral gaps
    • [GS]
    • [GS] M. GRIESEMER AND H. SIEBENTOP, A minimax principle for the eigenvalues in spectral gaps, J. London Math. Soc. (2), 60 (1999), pp. 490-500.
    • (1999) J. London Math. Soc. , vol.60 , Issue.2 , pp. 490-500
    • Griesemer, M.1    Siebentop, H.2
  • 7
    • 0000163859 scopus 로고
    • Spectral functions of definitizable operators in Krein spaces
    • [L], Proceedings of the Graduate School "Functional Analysis", Dubrovnik, Springer-Verlag, Berlin
    • [L] H. LANGER, Spectral functions of definitizable operators in Krein spaces, in Proceedings of the Graduate School "Functional Analysis", Dubrovnik, 1981, Lecture Notes in Math. 948, Springer-Verlag, Berlin, 1982, pp. 1-46.
    • (1981) Lecture Notes in Math. , vol.948 , pp. 1-46
    • Langer, H.1
  • 8
    • 0013409451 scopus 로고    scopus 로고
    • Self-adjoint block operator matrices with non-separated diagonal entries
    • [LMMT], to appear
    • [LMMT] H. LANGER, A. MARKUS, V. MATSAEV, AND C. TRETTER, Self-adjoint block operator matrices with non-separated diagonal entries, J. Funct. Anal., to appear.
    • J. Funct. Anal.
    • Langer, H.1    Markus, A.2    Matsaev, V.3    Tretter, C.4
  • 9
    • 0001298703 scopus 로고    scopus 로고
    • The essential spectrum of a non-elliptic boundary value problem
    • [LM]
    • [LM] H. LANGER AND M. MÖLLER, The essential spectrum of a non-elliptic boundary value problem, Math. Nachr., 178 (1996), pp. 233-248.
    • (1996) Math. Nachr. , vol.178 , pp. 233-248
    • Langer, H.1    Möller, M.2
  • 10
    • 0003227202 scopus 로고
    • Introduction to the spectral theory of polynomial operator pencils
    • [M], AMS, Providence, RI
    • [M] A.S. MARKUS, Introduction to the Spectral Theory of Polynomial Operator Pencils, Transl. Math. Monogr. 71, AMS, Providence, RI, 1988.
    • (1988) Transl. Math. Monogr. , vol.71
    • Markus, A.S.1
  • 11
    • 0013356602 scopus 로고
    • A minimax characterization for the eigenvalues of a positive symmetric operator in a space with an indefinite metric
    • [P]
    • [P] R.S. PHILLIPS, A minimax characterization for the eigenvalues of a positive symmetric operator in a space with an indefinite metric, J. Fac. Sci. Univ. Tokyo Sect. IA Math., 17 (1970), pp. 51-59.
    • (1970) J. Fac. Sci. Univ. Tokyo Sect. IA Math. , vol.17 , pp. 51-59
    • Phillips, R.S.1
  • 12
    • 34249970225 scopus 로고
    • Eigenvalues of a quadratic operator pencil
    • [Fi1]
    • [Fi1] V.N. PIVOVARCHIK, Eigenvalues of a quadratic operator pencil, Funct. Anal. Appl., 23 (1989), pp. 70-72.
    • (1989) Funct. Anal. Appl. , vol.23 , pp. 70-72
    • Pivovarchik, V.N.1
  • 13
    • 0024183884 scopus 로고
    • Oscillations of a semi-infinite rod with internal and external friction
    • [Pi2]
    • [Pi2] V.N. PIVOVARCHIK, Oscillations of a semi-infinite rod with internal and external friction, J. Appl. Math. Mech., 52 (1988), pp. 547-653.
    • (1988) J. Appl. Math. Mech. , vol.52 , pp. 547-653
    • Pivovarchik, V.N.1
  • 14
    • 0013441168 scopus 로고
    • Minimaxprinzipe zur bestimmung der eigenwerte J-nichtnegativer operatoren
    • [T]
    • [T] B. TEXTORIUS, Minimaxprinzipe zur Bestimmung der Eigenwerte J-nichtnegativer Operatoren, Math. Scand., 35 (1974), pp. 105-114.
    • (1974) Math. Scand. , vol.35 , pp. 105-114
    • Textorius, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.