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Linear preservers of polynomial numerical hulls of matrices

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dc.contributor.authorAghamollaei, Gh.
dc.contributor.authorMarcoux, L.W.
dc.contributor.authorRadjavi, H.
dc.date.accessioned2020-04-01T20:40:24Z
dc.date.available2020-04-01T20:40:24Z
dc.date.issued2019-08-15
dc.descriptionThe final publication is available at Elsevier via https://doi.org/10.1016/j.laa.2019.03.029. © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.description.abstractLet Mn be the algebra of all n × n complex matrices, 1 ≤ k ≤ n − 1 be an integer, and φ : Mn −→ Mn be a linear operator. In this paper, it is shown that φ preserves the polynomial numerical hull of order k if and only if there exists a unitary matrix U ∈ Mn such that either φ(A)=U∗AU forallA∈Mn,orφ(A)=U∗AtU forallA∈Mn.en
dc.description.sponsorshipResearch supported in part by Shahid Bahonar University of Kerman, Kerman, Iran. Research supported in part by NSERC (Canada),en
dc.identifier.urihttps://doi.org/10.1016/j.laa.2019.03.029
dc.identifier.urihttp://hdl.handle.net/10012/15728
dc.language.isoenen
dc.publisherElsevieren
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectlinear preserveren
dc.subjectpolynomial numerical hullen
dc.subjectnumerical rangeen
dc.titleLinear preservers of polynomial numerical hulls of matricesen
dc.typeArticleen
dcterms.bibliographicCitationAghamollaei, Gh., L. W. Marcoux, and H. Radjavi. “Linear Preservers of Polynomial Numerical Hulls of Matrices.” Linear Algebra and Its Applications 575 (August 15, 2019): 27–34. https://doi.org/10.1016/j.laa.2019.03.029.en
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Pure Mathematicsen
uws.peerReviewStatusRevieweden
uws.scholarLevelFacultyen
uws.scholarLevelStaffen
uws.typeOfResourceTexten

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