ON COMPLEX PERTURBATIONS OF INFINITE BAND SCHRÖDINGER OPERATORS
| dc.contributor.author | GOLINSKII, L | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | KUPIN, Stanislas | |
| dc.date.accessioned | 2024-04-04T03:03:26Z | |
| dc.date.available | 2024-04-04T03:03:26Z | |
| dc.date.created | 2015 | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 1029-3531 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193072 | |
| dc.description.abstractEn | Let H_0 = −d^2/dx^2 + V_0 be an infinite band Schrödinger operator on L^2(R) with a real-valued potential V_0 ∈ L^\infty (R). We study its complex perturbation H = H_0+V , defined in the form sense, and obtain the Lieb-Thirring type inequalities for the rate of convergence of the discrete spectrum of H to the joint essential spectrum. The assumptions on V vary depending on the sign of Re V . | |
| dc.language.iso | en | |
| dc.publisher | Institute of Mathematics NAS of Ukraine | |
| dc.subject.en | Schrödinger operator | |
| dc.subject.en | infinite band spectrum | |
| dc.subject.en | Lieb-Thirring type inequalities | |
| dc.subject.en | relatively compact perturbation | |
| dc.title.en | ON COMPLEX PERTURBATIONS OF INFINITE BAND SCHRÖDINGER OPERATORS | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Théorie spectrale [math.SP] | |
| bordeaux.journal | Methods in functional analysis and topology | |
| bordeaux.page | 237-245 | |
| bordeaux.volume | 21 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01950411 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01950411v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Methods%20in%20functional%20analysis%20and%20topology&rft.date=2015&rft.volume=21&rft.issue=3&rft.spage=237-245&rft.epage=237-245&rft.eissn=1029-3531&rft.issn=1029-3531&rft.au=GOLINSKII,%20L&KUPIN,%20Stanislas&rft.genre=article |
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