Linear preservers of polynomial numerical hulls of matrices
| dc.contributor.author | Aghamollaei, Gh. | |
| dc.contributor.author | Marcoux, L.W. | |
| dc.contributor.author | Radjavi, H. | |
| dc.date.accessioned | 2020-04-01 20:40:24 (GMT) | |
| dc.date.available | 2020-04-01 20:40:24 (GMT) | |
| dc.date.issued | 2019-08-15 | |
| dc.identifier.uri | https://doi.org/10.1016/j.laa.2019.03.029 | |
| dc.identifier.uri | http://hdl.handle.net/10012/15728 | |
| dc.description | The 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.abstract | Let 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.sponsorship | Research supported in part by Shahid Bahonar University of Kerman, Kerman, Iran. Research supported in part by NSERC (Canada), | en |
| dc.language.iso | en | en |
| dc.publisher | Elsevier | en |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.subject | linear preserver | en |
| dc.subject | polynomial numerical hull | en |
| dc.subject | numerical range | en |
| dc.title | Linear preservers of polynomial numerical hulls of matrices | en |
| dc.type | Article | en |
| dcterms.bibliographicCitation | Aghamollaei, 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.affiliation1 | Faculty of Mathematics | en |
| uws.contributor.affiliation2 | Pure Mathematics | en |
| uws.typeOfResource | Text | en |
| uws.peerReviewStatus | Reviewed | en |
| uws.scholarLevel | Faculty | en |
| uws.scholarLevel | Staff | en |
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