Normal operators with highly incompatible off-diagonal corners

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dc.contributor.authorMarcoux, Laurent W.
dc.contributor.authorRadjavi, Heydar
dc.contributor.authorZhang, Yuanhang
dc.date.accessioned2022-05-09T19:58:58Z
dc.date.available2022-05-09T19:58:58Z
dc.date.issued2020-05-25
dc.descriptionSubmission of a paper to Studia Mathematica implies that the work described therein has not been published before (except in the form of a preprint), that it is not under consideration for publication elsewhere, and that it will not be submitted elsewhere unless it has been rejected by the editors of Studia Mathematica. On the proof stage, the author will be asked to sign the copyright transfer agreement.en
dc.description.abstractLet H be a complex, separable Hilbert space, and B(H) denote the set of all bounded linear operators on H. Given an orthogonal projection P∈B(H) and an operator D∈B(H), we may write D=[D1D3D2D4] relative to the decomposition H=ranP⊕ran(I−P). In this paper we study the question: for which non-negative integers j, k can we find a normal operator D and an orthogonal projection P such that rank D2=j and rank D3=k? Complete results are obtained in the case where dimH<∞, and partial results are obtained in the infinite-dimensional setting.en
dc.description.sponsorshipL. W. Marcoux’s research was supported in part by NSERC (Canada).Y. Zhang’s research was supported in part by Natural Science Foundation for Young Scientists of Jilin Province (No. 20190103028JH), National Natural Science Foundation of China (Nos. 11601104, 11671167, 11201171) and China Scholarship Council (No. 201806175122).en
dc.identifier.urihttps://doi.org/10.4064/sm190819-13-2
dc.identifier.urihttp://hdl.handle.net/10012/18245
dc.language.isoenen
dc.publisherPolish Academy of Sciencesen
dc.subjectbounded linear operatorsen
dc.subjectorthogonal projectionen
dc.subjectnon-negative integersen
dc.subjectinfinite-dimensional settingen
dc.titleNormal operators with highly incompatible off-diagonal cornersen
dc.typeArticleen
dcterms.bibliographicCitationMarcoux, L. W., Radjavi, H., Zhang, Y. (2020, May 25). Normal operators with highly incompatible off-diagonal corners. Studia Mathematica. https://doi.org/10.4064/sm190819-13-2en
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Pure Mathematicsen
uws.peerReviewStatusRevieweden
uws.scholarLevelFacultyen
uws.typeOfResourceTexten

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