Hilbert space operators with compatible off-diagonal corners
| dc.contributor.author | Livshits, Leo | |
| dc.contributor.author | MacDonald, Gordon | |
| dc.contributor.author | Marcoux, Laurent W. | |
| dc.contributor.author | Radjavi, Heydar | |
| dc.date.accessioned | 2018-07-11T19:10:20Z | |
| dc.date.available | 2018-07-11T19:10:20Z | |
| dc.date.issued | 2018-08-15 | |
| dc.description | The final publication is available at Elsevier via https://dx.doi.org/10.1016/j.jfa.2018.04.002 © 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/ | en |
| dc.description.abstract | Given a complex, separable Hilbert space H, we characterize those operators for which ‖PT(I−P)‖=‖(I−P)TP‖ for all orthogonal projections P on H. When H is finite-dimensional, we also obtain a complete characterization of those operators for which rank(I−P)TP=rankPT(I−P) for all orthogonal projections P. When H is infinite-dimensional, we show that any operator with the latter property is normal, and its spectrum is contained in either a line or a circle in the complex plane. | en |
| dc.description.sponsorship | Natural Sciences and Engineering Research Council of Canada | en |
| dc.identifier.uri | https://dx.doi.org/10.1016/j.jfa.2018.04.002 | |
| dc.identifier.uri | http://hdl.handle.net/10012/13469 | |
| 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 | Corners | en |
| dc.subject | Normal operators | en |
| dc.subject | Reductive operators | en |
| dc.subject | Unitary operators | en |
| dc.title | Hilbert space operators with compatible off-diagonal corners | en |
| dc.type | Article | en |
| dcterms.bibliographicCitation | Livshits, L., MacDonald, G., Marcoux, L. W., & Radjavi, H. (2018). Hilbert space operators with compatible off-diagonal corners. Journal of Functional Analysis, 275(4), 892–925. doi:10.1016/j.jfa.2018.04.002 | en |
| uws.contributor.affiliation1 | Faculty of Mathematics | en |
| uws.contributor.affiliation2 | Applied Mathematics | en |
| uws.peerReviewStatus | Reviewed | en |
| uws.scholarLevel | Faculty | en |
| uws.typeOfResource | Text | en |
| uws.typeOfResource | Text | en |