Abstract
We investigate the spectrum perturbations and spectrum localization of a class of operators on a tensor product of separable Hilbert spaces. In particular, estimates for the spectral radius and norm of the resolvent are derived. Applications to partial integral and integro-differential operators are also discussed.
Original language | English |
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Pages (from-to) | 719-735 |
Number of pages | 17 |
Journal | Kyoto Journal of Mathematics |
Volume | 43 |
Issue number | 4 |
DOIs | |
State | Published - 1 Jan 2004 |
Keywords
- Hilbert spaces
- Integro-differential operators
- Linear operators
- Partial integral operators
- Spectrum
- Tensor products
ASJC Scopus subject areas
- General Mathematics