Spectral enclosures and stability for non-self-adjoint discrete Schrödinger operators on the half-line

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F22%3A00362621" target="_blank" >RIV/68407700:21340/22:00362621 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1112/blms.12700" target="_blank" >https://doi.org/10.1112/blms.12700</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1112/blms.12700" target="_blank" >10.1112/blms.12700</a>

Result language
angličtina
Original language name
Spectral enclosures and stability for non-self-adjoint discrete Schrödinger operators on the half-line
Original language description
We make a spectral analysis of discrete Schrödinger operators on the half-line, subject to complex Robin-type boundary couplings and complex-valued potentials. First, optimal spectral enclosures are obtained for summable potentials. Second, general smallness conditions on the potentials guaranteeing a spectral stability are established. Third, a general identity which allows to generate optimal discrete Hardy inequalities for the discrete Dirichlet Laplacian on the half-line is proved.
Czech name
—
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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