Artykuł  

On intertwining and ω-hyponormal operators

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creativeworkseries.issn1232-9274
dc.contributor.authorOtieno, M O
dc.date.issued2005
dc.description.abstractGiven A, B mem B(H), the algebra of operators on a Hilbert Spaces H, define deltaA,B : B(H) arr B(H) and DeltaA,B : B(H) arr B(H) by deltaA,B(X) = AX - XB and DeltaA,B(X) = AXB - X. In this note, our task is a twofold one. We show firstly that if A and B* are contractions with C.o completely non unitary parts such that X mem ker DeltaA,B, then X mem ker DeltaA*,B*. Secondly, it is shown that if A and B* are ω-hyponormal operators such that X mem ker deltaA,B and Y mem ker deltaB,A, where X and Y are quasi-affinities, then A and B are unitarily equivalent normal operators. A ω-hyponormal operator compactly quasi-similar to an isometry is unitary is also proved.en
dc.description.versionwersja wydawnicza
dc.identifier.eissn2300-6919
dc.identifier.issn1232-9274
dc.identifier.nukatdd2006319018
dc.identifier.urihttps://repo.agh.edu.pl/handle/AGH/50175
dc.language.isoeng
dc.rightsAttribution 4.0 International
dc.rights.accessotwarty dostęp
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/legalcode
dc.subjectω-hyponormal operatorsen
dc.subjectcontraction operators and quasi-similarityen
dc.titleOn intertwining and ω-hyponormal operatorsen
dc.title.relatedOpuscula Mathematica
dc.typeartykuł
dspace.entity.typePublication
publicationissue.issueNumberNo. 2
publicationissue.paginationpp. 275-285
publicationvolume.volumeNumberVol. 25
relation.isJournalIssueOfPublicatione7d24017-8045-453a-862c-2f6e606a5b92
relation.isJournalIssueOfPublication.latestForDiscoverye7d24017-8045-453a-862c-2f6e606a5b92
relation.isJournalOfPublication304b3b9b-59b9-4830-9178-93a77e6afbc7
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