Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9495502 | Journal of Functional Analysis | 2005 | 24 Pages |
Abstract
Via approximative eigensequences we introduce the notion of spectral points of type Ï+ and Ï- for self-adjoint operators in Krein spaces. They are stable under compact perturbations. For real spectral points of type Ï+ and Ï- which are not in the interior of the spectrum we prove that the growth of the resolvent in some neighbourhood of them is of finite order. There exists a local spectral function with singularities. It turns out that all spectral subspaces corresponding to sufficiently small neighbourhoods of points of type Ï+ or type Ï- are Pontryagin spaces.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Tomas Ya. Azizov, Peter Jonas, Carsten Trunk,