Variational principles for eigenvalues of block operator matrices
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Publication:4431125
DOI10.1512/iumj.2002.51.2286zbMath1048.47011OpenAlexW2033519439MaRDI QIDQ4431125
Christiane Tretter, Matthias Langer, Heinz K. Langer
Publication date: 13 October 2003
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1512/iumj.2002.51.2286
inequalitiesvariational principleseigenvaluesessential spectrumselfadjoint operatorRayleigh functionalblock operator matrices
Eigenvalues, singular values, and eigenvectors (15A18) Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75)
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Self-adjoint block operator matrices with non-separated diagonal entries and their Schur complements. ⋮ Representation theorems and variational principles for self-adjoint operator matrices ⋮ Rational eigenvalue problems and applications to photonic crystals ⋮ Variational principles and eigenvalue estimates for unbounded block operator matrices and applications ⋮ Spectral analysis of the spin-boson Hamiltonian with two bosons for arbitrary coupling and bounded dispersion relation ⋮ A variational principle for block operator matrices and its application to the angular part of the Dirac operator in curved spacetime ⋮ Spectrum of definite type of self-adjoint operators in Krein spaces ⋮ Symplectic self-adjointness of infinite dimensional Hamiltonian operators ⋮ Triple variational principles for self-adjoint operator functions ⋮ Spectral enclosures for a class of block operator matrices ⋮ On a minimax principle in spectral gaps
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