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dc.contributor.authorLindner, Marko-
dc.contributor.authorSeidel, Markus-
dc.date.accessioned2021-05-14T11:44:52Z-
dc.date.available2021-05-14T11:44:52Z-
dc.date.issued2014-04-03-
dc.identifier.citationJ. Funct. Anal., 267(3): 901-917 267 (2014)de_DE
dc.identifier.issn1096-0783de_DE
dc.identifier.urihttp://hdl.handle.net/11420/9524-
dc.description.abstractAn operator on an lᵖ-space is called band-dominated if it can be approximated, in the operator norm, by operators with a banded matrix representation. It is known that a rich band-dominated operator is 𝓟-Fredholm (which is a generalization of the classical Fredholm property) if and only if all of its so-called limit operators are invertible and their inverses are uniformly bounded. We show that the condition on uniform boundedness is redundant in this statement.en
dc.language.isoende_DE
dc.publisherElsevierde_DE
dc.relation.ispartofJournal of functional analysisde_DE
dc.subjectBand-dominated operatorde_DE
dc.subjectFredholm theoryde_DE
dc.subjectLimit operatorde_DE
dc.subjectMathematics - Functional Analysisde_DE
dc.subjectMathematics - Functional Analysisde_DE
dc.subjectMathematics - Operator Algebrasde_DE
dc.subject.ddc510: Mathematikde_DE
dc.titleAn affirmative answer to a core issue on limit operatorsde_DE
dc.typeArticlede_DE
dc.type.diniarticle-
dcterms.DCMITypeText-
tuhh.abstract.englishAn operator on an lᵖ-space is called band-dominated if it can be approximated, in the operator norm, by operators with a banded matrix representation. It is known that a rich band-dominated operator is 𝓟-Fredholm (which is a generalization of the classical Fredholm property) if and only if all of its so-called limit operators are invertible and their inverses are uniformly bounded. We show that the condition on uniform boundedness is redundant in this statement.de_DE
tuhh.publisher.doi10.1016/j.jfa.2014.03.002-
tuhh.publication.instituteMathematik E-10de_DE
tuhh.type.opus(wissenschaftlicher) Artikel-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.issue3de_DE
tuhh.container.volume267de_DE
tuhh.container.startpage901de_DE
tuhh.container.endpage917de_DE
dc.identifier.arxiv1401.1300v2de_DE
dc.identifier.scopus2-s2.0-84901684996de_DE
local.status.inpressfalsede_DE
datacite.resourceTypeJournal Article-
datacite.resourceTypeGeneralText-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.creatorGNDLindner, Marko-
item.creatorGNDSeidel, Markus-
item.openairetypeArticle-
item.fulltextNo Fulltext-
item.cerifentitytypePublications-
item.creatorOrcidLindner, Marko-
item.creatorOrcidSeidel, Markus-
item.languageiso639-1en-
item.mappedtypeArticle-
crisitem.author.deptMathematik E-10-
crisitem.author.orcid0000-0001-8483-2944-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik-
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