DC FieldValueLanguage
dc.contributor.authorLindner, Marko-
dc.date.accessioned2021-11-30T14:05:05Z-
dc.date.available2021-11-30T14:05:05Z-
dc.date.issued2022-06-
dc.identifier.citationOperators and Matrices 16 (2): 529-543 (2022-06)de_DE
dc.identifier.issn1846-3886de_DE
dc.identifier.urihttp://hdl.handle.net/11420/11125-
dc.description.abstractWe study two abstract scenarios, where an operator family has a certain minimality property. In both scenarios, it is shown that norm, spectrum and resolvent are the same for all family members. Both abstract settings are illustrated by practically relevant examples, including discrete Schrödinger operators with periodic, quasiperiodic, almost-periodic, Sturmian and pseudo-ergodic potential. The main tool is the method of limit operators, known from studies of Fredholm operators and convergence of projection methods. We close by connecting this tool to the study of subwords of the operator potential.-
dc.description.abstractWe study two abstract scenarios, where an operator family has a certain minimality property. In both scenarios, it is shown that norm, spectrum and resolvent are the same for all family members. Both abstract settings are illustrated by practically relevant examples, including discrete Schrödinger operators with periodic, quasiperiodic, almost-periodic, Sturmian and pseudo-ergodic potential. The main tool is the method of limit operators, known from studies of Fredholm operators and convergence of projection methods. We close by connecting this tool to the study of subwords of the operator potential.en
dc.language.isoende_DE
dc.relation.ispartofOperators and matricesde_DE
dc.subjectMathematics - Functional Analysis-
dc.subjectMathematics - Functional Analysis-
dc.subjectMathematics - Spectral Theory-
dc.subject47B37, Secondary 47A35, 47B36-
dc.subjectLimit operators-
dc.subjectminimal system-
dc.subjectSchrödinger operator-
dc.subjectspectrum-
dc.subject.ddc000: Allgemeines, Wissenschaft-
dc.titleMinimal Families of Limit Operatorsde_DE
dc.typeArticlede_DE
dc.type.diniarticle-
dcterms.DCMITypeText-
tuhh.abstract.englishWe study two abstract scenarios, where an operator family has a certain minimality property. In both scenarios, it is shown that norm, spectrum and resolvent are the same for all family members. Both abstract settings are illustrated by practically relevant examples, including discrete Schrödinger operators with periodic, quasiperiodic, almost-periodic, Sturmian and pseudo-ergodic potential. The main tool is the method of limit operators, known from studies of Fredholm operators and convergence of projection methods. We close by connecting this tool to the study of subwords of the operator potential.de_DE
tuhh.publisher.doi10.7153/oam-2022-16-40-
tuhh.publication.instituteMathematik E-10de_DE
tuhh.type.opus(wissenschaftlicher) Artikel-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.issue2de_DE
tuhh.container.volume16de_DE
tuhh.container.startpage529de_DE
tuhh.container.endpage543de_DE
dc.identifier.arxiv2111.13750v1de_DE
dc.identifier.scopus2-s2.0-85133563967de_DE
local.status.inpressfalse-
datacite.resourceTypeArticle-
datacite.resourceTypeGeneralJournalArticle-
item.grantfulltextnone-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.creatorOrcidLindner, Marko-
item.languageiso639-1en-
item.creatorGNDLindner, Marko-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.mappedtypeArticle-
crisitem.author.deptMathematik E-10-
crisitem.author.orcid0000-0001-8483-2944-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik (E)-
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