Integral Equations and Operator Theory

, Volume 39, Issue 2, pp 127–152 | Cite as

Compact perturbation of definite type spectra of self-adjoint quadratic operator pencils

  • V. Adamjan
  • H. Langer
  • M. Möller
Article

Abstract

Self-adjoint quadratic operator pencilsL(λ)=λ2A + λB + C with a noninvertible leading operatorA are considered. In particular, a characterization of the spectral points of positive and of negative type ofL is given, and their behavior under a compact perturbation is studied. These results are applied to a pencil arising in magnetohydrodynamics.

1991 Mathematics Subject Classification

Primary: 47A48 Secondary: 47A55 

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Copyright information

© Birkhäuser Verlag 2001

Authors and Affiliations

  • V. Adamjan
    • 1
    • 2
    • 3
  • H. Langer
    • 1
    • 2
    • 3
  • M. Möller
    • 1
    • 2
    • 3
  1. 1.Department of Theoretical PhysicsOdessa State UniversityOdessaUkraine
  2. 2.Institut für Analysis und Technische MathematikTechnische Universität WienWienAustria
  3. 3.Department of MathematicsUniversity of the WitwatersrandWITSSouth Africa

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