Abstract
Let A and à be bounded operators in a Hilbert space. We consider the following problem: let the spectrum of A lie in some strip. In what strip the spectrum of à lies if A and à are “close”? Applications of the obtained results to integral operators and matrices are also discussed. In addition, we apply our perturbation results to approximate the spectral strip of a Hilbert-Schmidt operator by the spectral strips of finite matrices.
Original language | English |
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Pages (from-to) | 395-412 |
Number of pages | 18 |
Journal | Opuscula Mathematica |
Volume | 41 |
Issue number | 3 |
DOIs | |
State | Published - 1 Jan 2021 |
Keywords
- Approximation
- Integral operator
- Matrix
- Operator
- Perturbation
- Spectrum