Busque entre los 157103 recursos disponibles en el repositorio
Mostrar el registro sencillo del ítem
dc.date.accessioned | 2022-03-10T13:06:39Z | |
dc.date.available | 2022-03-10T13:06:39Z | |
dc.date.issued | 2018-08 | |
dc.identifier.uri | http://sedici.unlp.edu.ar/handle/10915/132306 | |
dc.description.abstract | We solve the problem of best approximation by partial isometries of given rank to an arbitrary rectangular matrix, when the distance is measured in any unitarily invariant norm. In the case where the norm is strictly convex, we parametrize all the solutions. In particular, this allows us to give a simple necessary and sufficient condition for uniqueness. We then apply these results to solve the global problem of approximation by partial isometries, and to extend the notion of symmetric approximation of frames introduced in Frank et al. (Trans Am Math Soc 354: 777–793, 2002). In addition, we characterize symmetric approximations of frames belonging to a prescribed subspace. | en |
dc.format.extent | 1098-1118 | es |
dc.language | en | es |
dc.subject | Partial isometry | es |
dc.subject | Polar decomposition | es |
dc.subject | Singular value decomposition | es |
dc.subject | Symmetric approximation | es |
dc.subject | Finite frame | es |
dc.subject | Unitarily invariant norms | es |
dc.subject | Löwdin orthogonalization | es |
dc.title | Approximation by Partial Isometries and Symmetric Approximation of Finite Frames | en |
dc.type | Articulo | es |
sedici.identifier.other | doi:10.1007/s00041-017-9547-5 | es |
sedici.identifier.issn | 1069-5869 | es |
sedici.identifier.issn | 1531-5851 | es |
sedici.creator.person | Antezana, Jorge Abel | es |
sedici.creator.person | Chiumiento, Eduardo Hernán | es |
sedici.subject.materias | Ciencias Exactas | es |
sedici.subject.materias | Matemática | es |
sedici.description.fulltext | true | es |
mods.originInfo.place | Facultad de Ciencias Exactas | es |
sedici.subtype | Articulo | 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 | Journal of Fourier Analysis and Applications | es |
sedici.relation.journalVolumeAndIssue | vol. 24, no. 4 | es |