The abstract Birman-Schwinger principle and spectral stability

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F22%3A00353893" target="_blank" >RIV/68407700:21340/22:00353893 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s11854-022-0232-5" target="_blank" >https://doi.org/10.1007/s11854-022-0232-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11854-022-0232-5" target="_blank" >10.1007/s11854-022-0232-5</a>

Result language
angličtina
Original language name
The abstract Birman-Schwinger principle and spectral stability
Original language description
We discuss abstract Birman-Schwinger principles to study spectra of self-adjoint operators subject to small non-self-adjoint perturbations in a factorised form. In particular, we extend and in part improve a classical result by Kato which ensures that the spectrum does not change under small perturbations. As an application, we revisit known results for Schrodinger and Dirac operators in Euclidean spaces and establish new results for Schrodinger operators in three-dimensional hyperbolic space.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GX20-17749X" target="_blank" >GX20-17749X: New challenges for spectral theory: geometry, advanced materials and complex fields</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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