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Triangular Operator Algebras and Simultaneous Triangularisation

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dc.contributor.authorMarcoux, Laurent
dc.contributor.authorRadjavi, Heydar
dc.contributor.authorRosenthal, Peter
dc.date.accessioned2024-01-31T16:29:19Z
dc.date.available2024-01-31T16:29:19Z
dc.date.issued2023
dc.descriptionFirst published in the Proceedings of the American Mathematical Society in 151 (2023), published by the American Mathematical Society. https://doi.org/10.1090/proc/16159en
dc.description.abstractWe consider the question of whether every collection of compact operators that is contained in a triangular operator algebra (in the sense of Kadison and Singer) must be simultaneously triangularisable. The answer is shown to be affirmative if the collection consists of finite-rank operators or is a norm-closed algebra of compact operators.en
dc.description.sponsorshipThe first author was supported in part by NSERC (Canada).en
dc.identifier.urihttps://doi.org/10.1090/proc/16159
dc.identifier.urihttp://hdl.handle.net/10012/20319
dc.language.isoenen
dc.publisherAmerican Mathematical Societyen
dc.relation.ispartofseriesProceedings of the American Mathematical Society;151
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjecttriangular algebrasen
dc.subjectsimultaneous triangularisabilityen
dc.subjectirreducible algebraen
dc.subjectcompact operatorsen
dc.titleTriangular Operator Algebras and Simultaneous Triangularisationen
dc.typeArticleen
dcterms.bibliographicCitationMarcoux, L., Radjavi, H., & Rosenthal, P. (2023). Triangular operator algebras and simultaneous triangularisation. Proceedings of the American Mathematical Society, 151(2), 755–762. https://doi.org/10.1090/proc/16159en
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Pure Mathematicsen
uws.peerReviewStatusRevieweden
uws.scholarLevelFacultyen
uws.typeOfResourceTexten

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