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dc.date.accessioned 2020-07-03T16:03:07Z
dc.date.available 2020-07-03T16:03:07Z
dc.date.issued 2018-11
dc.identifier.uri http://sedici.unlp.edu.ar/handle/10915/99883
dc.description.abstract Lidskii's additive inequalities (both for eigenvalues and singular values) can be interpreted as an explicit description of global minimizers of functions that are built on unitarily invariant norms, with domains consisting of certain orbits of matrices (under the action of the unitary group). In this paper, we show that Lidskii's inequalities actually describe all global minimizers of such functions and that local minimizers are also global minimizers. We use these results to obtain partial results related to local minimizers of generalized frame operator distances in the context of finite frame theory. en
dc.format.extent 34-61 es
dc.language en es
dc.subject Frame operator distance es
dc.subject Lidskii's inequality es
dc.subject Majorization es
dc.subject Unitarily invariant norms es
dc.title Local Lidskii's theorems for unitarily invariant norms en
dc.type Articulo es
sedici.identifier.uri https://ri.conicet.gov.ar/11336/88407 es
sedici.identifier.other http://dx.doi.org/10.1016/j.laa.2018.07.022 es
sedici.identifier.other hdl:11336/88407 es
sedici.identifier.issn 0024-3795 es
sedici.creator.person Massey, Pedro Gustavo es
sedici.creator.person Rios, Noelia Belén es
sedici.creator.person Stojanoff, Demetrio es
sedici.subject.materias Matemática es
sedici.description.fulltext true es
mods.originInfo.place Facultad de Ciencias Exactas es
sedici.subtype Preprint es
sedici.rights.license Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
sedici.rights.uri http://creativecommons.org/licenses/by-nc-sa/4.0/
sedici.description.peerReview peer-review es
sedici.relation.journalTitle Linear Algebra and its Applications es
sedici.relation.journalVolumeAndIssue vol. 557 es


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Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) Excepto donde se diga explícitamente, este item se publica bajo la siguiente licencia Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)