Relatively bounded and compact perturbations of \(n\)th order differential operators

DOI10.1155/S0161171298000064zbMath0907.47044MaRDI QIDQ1380951

Terry G. Anderson

Publication date: 2 March 1999

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48080

zbMATH Keywords

essential spectrumFredholm indexinterpolation inequalitiesrelatively compactmaximal and minimal operatorsrelatively boundedintegral averages of the coefficientsperturbation theory for \(n\)th order differential operators

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Perturbation theory of linear operators (47A55) General theory of ordinary differential operators (47E05) (Semi-) Fredholm operators; index theories (47A53) Ordinary differential operators (34L99)

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Relative form boundedness and compactness for a second-order differential operator ⋮ Relatively bounded and relatively compact perturbations for limit circle Hamiltonian systems

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