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Volumn 51, Issue 6, 2002, Pages 1427-1459

Variational principles for eigenvalues of block operator matrices

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EID: 0037000338     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: 10.1512/iumj.2002.51.2286     Document Type: Article
Times cited : (21)

References (24)
  • 1
    • 0001648740 scopus 로고
    • Spectral properties of a class of rational operator valued functions
    • V.M. ADAMJAN & H. LANGER, Spectral properties of a class of rational operator valued functions, J. Operator Theory 33 (1995), 259-277.
    • (1995) J. Operator Theory , vol.33 , pp. 259-277
    • Adamjan, V.M.1    Langer, H.2
  • 2
    • 0035836870 scopus 로고    scopus 로고
    • A spectral theory for a λ-rational Sturm-Liouville problem
    • V.M. ADAMJAN, H. LANGER & M. LANGER, A spectral theory for a λ-rational Sturm-Liouville problem, J. Differential Equations 171 (2001), 315-345.
    • (2001) J. Differential Equations , vol.171 , pp. 315-345
    • Adamjan, V.M.1    Langer, H.2    Langer, M.3
  • 3
    • 0034366427 scopus 로고    scopus 로고
    • Variational principles for real eigenvalues of self-adjoint operator pencils
    • P. BINDING, D. ESCHWÉ & H. LANGER, Variational principles for real eigenvalues of self-adjoint operator pencils, Integral Equations Operator Theory 38 (2000), 190-206.
    • (2000) Integral Equations Operator Theory , vol.38 , pp. 190-206
    • Binding, P.1    Eschwé, D.2    Langer, H.3
  • 5
    • 0013373561 scopus 로고    scopus 로고
    • On the eigenvalues of operators with gaps. Application to Dirac operators
    • J. DOLBEAULT, M.J. ESTEBAN & E. SÉRÉ, On the eigenvalues of operators with gaps. Application to Dirac operators, J. Funct. Anal. 174 (2000), 208-226.
    • (2000) J. Funct. Anal. , vol.174 , pp. 208-226
    • Dolbeault, J.1    Esteban, M.J.2    Séré, E.3
  • 6
    • 84875107382 scopus 로고    scopus 로고
    • Triple variational principles for eigenvalues of self-adjoint operators and operator functions
    • to appear
    • D. ESCHWÉ & H. LANGER Triple variational principles for eigenvalues of self-adjoint operators and operator functions, SIAM J. Math. Anal., to appear.
    • SIAM J. Math. Anal.
    • Eschwé, D.1    Langer, H.2
  • 8
    • 84875098436 scopus 로고    scopus 로고
    • A counting fonction for a λ-rational Sturm-Liouville problem
    • to appear
    • L. GREENBERG & M. MARLETTA, A counting function for a λ-rational Sturm-Liouville problem, Math. Nachr., to appear.
    • Math. Nachr.
    • Greenberg, L.1    Marletta, M.2
  • 9
    • 0000331931 scopus 로고    scopus 로고
    • A minimax principle for eigenvalues in spectral gaps Dirac operators with Coulomb potentials
    • M. GRIESEMER, R.T. LEWIS & H. SIEDENTOP, A minimax principle for eigenvalues in spectral gaps Dirac operators with Coulomb potentials, Doc. Math. 4 (1999), 275-283.
    • (1999) Doc. Math. , vol.4 , pp. 275-283
    • Griesemer, M.1    Lewis, R.T.2    Siedentop, H.3
  • 10
    • 0000060563 scopus 로고    scopus 로고
    • A minimax principle for the eigenvalues in spectral gaps
    • M. GRIESEMER & H. SIEDENTOP, A minimax principle for the eigenvalues in spectral gaps, J. London Math. Soc. 60 (1999), 490-500.
    • (1999) J. London Math. Soc. , vol.60 , pp. 490-500
    • Griesemer, M.1    Siedentop, H.2
  • 12
    • 84875114662 scopus 로고    scopus 로고
    • Spectral and scattering theory of some matrix operators related to the Schrödinger equations with potentials depending rationally on spectral parameter
    • YU.A. KONSTANTINOV, Spectral and scattering theory of some matrix operators related to the Schrödinger equations with potentials depending rationally on spectral parameter, Methods Funct. Anal. Topology 2 (1996), 69-77.
    • (1996) Methods Funct. Anal. Topology , vol.2 , pp. 69-77
    • Konstantinov, Yu.A.1
  • 14
    • 0035877008 scopus 로고    scopus 로고
    • A new concept for block operator matrices: The quadratic numerical range
    • H. LANGER, A. MARKUS, V. MATSAEV & C. TRETTER, A new concept for block operator matrices: the quadratic numerical range, Linear Algebra Appl. 330 (2001), 89-112.
    • (2001) Linear Algebra Appl. , vol.330 , pp. 89-112
    • Langer, H.1    Markus, A.2    Matsaev, V.3    Tretter, C.4
  • 15
    • 84875086304 scopus 로고    scopus 로고
    • Self-adjoint block operator matrices with non-separated diagonal entries and their Schur complements
    • to appear
    • _, Self-adjoint block operator matrices with non-separated diagonal entries and their Schur complements, J. Funct. Anal., to appear.
    • J. Funct. Anal.
  • 16
    • 0001376538 scopus 로고    scopus 로고
    • Spectral decomposition of some nonselfadjoint block operator matrices
    • H. LANGER & C. TRETTER, Spectral decomposition of some nonselfadjoint block operator matrices, J. Operator Theory 39 (1998), 339-359.
    • (1998) J. Operator Theory , vol.39 , pp. 339-359
    • Langer, H.1    Tretter, C.2
  • 17
    • 0000166687 scopus 로고    scopus 로고
    • Diagonalization of certain block operator matrices and applications to Dirac operators
    • _, Diagonalization of certain block operator matrices and applications to Dirac operators, Oper. Theory Adv. Appl. 122 (2001), 331-358.
    • (2001) Oper. Theory Adv. Appl. , vol.122 , pp. 331-358
  • 18
    • 0000372158 scopus 로고    scopus 로고
    • Eigenvalues of λ-rational Sturm-Liouville problem
    • M. LANGER, Eigenvalues of λ-rational Sturm-Liouville problem, Math. Nachr. 210 (2000), 163-176.
    • (2000) Math. Nachr. , vol.210 , pp. 163-176
    • Langer, M.1
  • 20
    • 0003227202 scopus 로고
    • Introduction to the spectral theory of polynomial operator pencils
    • A.S. MARKUS, Introduction to the Spectral Theory of Polynomial Operator Pencils, AMS Transl. Math. Monographs Volume 71, 1988.
    • (1988) AMS Transl. Math. Monographs , vol.71
    • Markus, A.S.1
  • 21
    • 0000138487 scopus 로고    scopus 로고
    • On the eigenvalue accumulation of Sturm-Liouville problems depending nonlinearly on the spectral parameter
    • R. MENNICKEN, H. SCHMID & A. SHKALIKOV, On the eigenvalue accumulation of Sturm-Liouville problems depending nonlinearly on the spectral parameter, Math. Nachr. 189 (1998), 157-170.
    • (1998) Math. Nachr. , vol.189 , pp. 157-170
    • Mennicken, R.1    Schmid, H.2    Shkalikov, A.3
  • 22
    • 0000822305 scopus 로고    scopus 로고
    • Spectral decomposition of symmetric operator matrices
    • R. MENNICKEN & A. SHKALIKOV, Spectral decomposition of symmetric operator matrices, Math. Nachr. 179 (1996), 259-273.
    • (1996) Math. Nachr. , vol.179 , pp. 259-273
    • Mennicken, R.1    Shkalikov, A.2
  • 24
    • 0003626565 scopus 로고
    • Methods of intermediate problems for eigenvalues, theory and ramifications
    • Academic Press, New York, London
    • A. WEINSTEIN & W. F. STENGER, Methods of Intermediate Problems for Eigenvalues, Theory and Ramifications, Mathematics in Science and Engineering Volume 89, Academic Press, New York, London, 1972.
    • (1972) Mathematics in Science and Engineering , vol.89
    • Weinstein, A.1    Stenger, W.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.