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On Finite Rank Perturbations of Selfadjoint Operators in Krein Spaces and Eigenvalues in Spectral Gaps
Jussi Behrndt
Roland Möws
Carsten Trunk
出版
Techn. Univ., Inst. für Mathematik
, 2012
URL
http://books.google.com.hk/books?id=xdvjvQEACAAJ&hl=&source=gbs_api
註釋
It is shown that the finiteness of eigenvalues in a spectral gap of a definitizable or locally definitizable selfadjoint operator in a Krein space is preserved under finite rank perturbations. This results is applied to a class of singular Sturm-Liouville operators with an indefinite weight function.
