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Perturbations of gaps in the essential spectra of self-adjoint relations.
- Source :
-
Linear & Multilinear Algebra . Oct2024, Vol. 72 Issue 15, p2619-2632. 14p. - Publication Year :
- 2024
-
Abstract
- This paper is concerned with the stability of gaps in the essential spectra of self-adjoint relations under non-negative relatively compact perturbation in Hilbert spaces. A stability result about semi-boundedness of self-adjoint relations under relatively bounded perturbation is given. It is shown that the gaps in the essential spectra of self-adjoint relations are invariant under non-negative relatively compact perturbation. The results obtained in the present paper generalize the corresponding results for linear operators to linear relations. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LINEAR operators
*HILBERT space
Subjects
Details
- Language :
- English
- ISSN :
- 03081087
- Volume :
- 72
- Issue :
- 15
- Database :
- Academic Search Index
- Journal :
- Linear & Multilinear Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 179995746
- Full Text :
- https://doi.org/10.1080/03081087.2023.2277208