Spectral Enclosures for Non-self-adjoint Discrete Schrödinger Operators

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F19%3A00337856" target="_blank" >RIV/68407700:21340/19:00337856 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1007/s00020-019-2553-z" target="_blank" >https://doi.org/10.1007/s00020-019-2553-z</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00020-019-2553-z" target="_blank" >10.1007/s00020-019-2553-z</a>

Result language

angličtina

Original language name

Spectral Enclosures for Non-self-adjoint Discrete Schrödinger Operators

Original language description

We study location of eigenvalues of one-dimensional discrete Schrödinger operators with complex ℓp-potentials for 1<=p<=infinity. In the case of ℓ1-potentials, the derived bound is shown to be optimal. For p>1, two different spectral bounds are obtained. The method relies on the Birman–Schwinger principle and various techniques for estimations of the norm of the Birman–Schwinger operator.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2019

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Integral Equations and Operator Theory

ISSN

0378-620X

e-ISSN

1420-8989

Volume of the periodical

91

Issue of the periodical within the volume

6

Country of publishing house

CH - SWITZERLAND

Number of pages

15

Pages from-to

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UT code for WoS article

000497703000001

EID of the result in the Scopus database

2-s2.0-85075220260