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

Autor:	David Krejčiřík, Ari Laptev, František Štampach
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Mathematics - Spectral Theory Mathematics - Classical Analysis and ODEs General Mathematics Classical Analysis and ODEs (math.CA) FOS: Mathematics FOS: Physical sciences Mathematical Physics (math-ph) Mathematics::Spectral Theory Spectral Theory (math.SP) Mathematical Physics
Popis:	We make a spectral analysis of discrete Schroedinger 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. Comment: 19 pages, 5 figures
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39d3d9e3e8cd26ddb4f75cdce5f07334 http://hdl.handle.net/10044/1/98387 Zobrazit plný text záznamu