Perturbation bounds for angular sectors of spectra of unbounded operators
Autor: | Michael Gil |
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Rok vydání: | 2021 |
Předmět: |
Physics
General Mathematics Numerical analysis 010102 general mathematics Spectrum (functional analysis) Hilbert space Perturbation (astronomy) Algebraic geometry 01 natural sciences Tilde Spectral line 010101 applied mathematics symbols.namesake symbols 0101 mathematics Computer Science::Data Structures and Algorithms Angular sector Mathematical physics |
Zdroj: | ANNALI DELL'UNIVERSITA' DI FERRARA. 67:73-81 |
ISSN: | 1827-1510 0430-3202 |
DOI: | 10.1007/s11565-021-00358-6 |
Popis: | Let A and $$\tilde{A}$$ be linear unbounded in general operators on a Hilbert space. We consider the following problem: let the spectrum of A lie in some angular sector. In what sector the spectrum of $$\tilde{A}$$ lies, if A and $$\tilde{A}$$ are sufficiently “close”? Illustrative examples are also presented. |
Databáze: | OpenAIRE |
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