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dc.contributor.authorMarcoux, Laurent W.
dc.contributor.authorRadjavi, Heydar
dc.contributor.authorZhang, Yuanhang
dc.date.accessioned2022-05-10 19:48:33 (GMT)
dc.date.available2022-05-10 19:48:33 (GMT)
dc.date.issued2020-12-15
dc.identifier.urihttps://doi.org/10.1016/j.laa.2020.07.036
dc.identifier.urihttp://hdl.handle.net/10012/18254
dc.descriptionThe final publication is available at Elsevier via https://doi.org/10.1016/j.laa.2020.07.036. © 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 licenseen
dc.description.abstractLet n ∈ N, and consider Cn equipped with the standard inner product. Let A ⊆ L(Cn) be a unital algebra and P ∈ L(Cn) be an orthogonal projection. The space L := P ⊥A|ran P is said to be an off-diagonal corner of A, and L is said to be essential if ∩{ker L : L ∈ L} = {0} and ∩{ker L ∗ : L ∈ L} = {0}, where L ∗ denotes the adjoint of L. Our goal in this paper is to determine effective upper bounds on dim A in terms of dim L, where L is an essential off-diagonal corner of A. A detailed structure analysis of A based upon the dimension of L, while seemingly elusive in general, is nevertheless provided in the cases where dim L ∈ {1, 2}.en
dc.description.sponsorshipResearch supported in part by NSERC (Canada). Research was supported in part by Science and Technology Development Project of Jilin Province (No.:20190103028JH), National Natural Science Foundation of China (No.:11601104, 11671167, 11201171) and China Scholarship Council (No.:201806175122).en
dc.language.isoenen
dc.publisherElsevieren
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectoff-diagonal cornersen
dc.subjectcompressions of matricesen
dc.titleOFF-DIAGONAL CORNERS OF SUBALGEBRAS OF L(Cn)en
dc.typeArticleen
dcterms.bibliographicCitationMarcoux, L. W., Radjavi, H., & Zhang, Y. (2020). Off-diagonal corners of subalgebras of L(Cn). Linear Algebra and Its Applications, 607, 58–88. https://doi.org/10.1016/j.laa.2020.07.036en
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Pure Mathematicsen
uws.typeOfResourceTexten
uws.peerReviewStatusRevieweden
uws.scholarLevelFacultyen


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