Abstract
Nonself-adjoint, nondissipative perturbations of bounded self-adjoint operators with real purely singular spectrum are considered. Using a functional model of a nonself-adjoint operator as a principal tool, spectral properties of such operators are investigated. In particular, in the case of rank two perturbations the pure point spectral component is completely characterized in terms of matrix elements of the operators' characteristic function.
Original language | English |
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Pages (from-to) | 115-130 |
Number of pages | 16 |
Journal | Journal of Computational and Applied Mathematics |
Volume | 194 |
Issue number | 1 SPEC. ISS. |
DOIs | |
Publication status | Published - 15 Sept 2006 |
Bibliographical note
Funding Information:The authors acknowledge support received from RFBR (Grant No. 03-01-00090) and IRCSET. They also express their deep gratitude to the referee of this paper for making a number of extremely helpful comments.
Funding
The authors acknowledge support received from RFBR (Grant No. 03-01-00090) and IRCSET. They also express their deep gratitude to the referee of this paper for making a number of extremely helpful comments.
Keywords
- Almost Hermitian spectrum
- Functional model
- Matrix model
- Pure point spectrum
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics