| dc.creator | Ech-Chérif El Kettani, Mustapha | |
| dc.creator | lahssaini, aziz | |
| dc.date | 2020-11-12 | |
| dc.date.accessioned | 2021-01-29T12:45:33Z | |
| dc.date.available | 2021-01-29T12:45:33Z | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3654 | |
| dc.identifier | 10.22199/issn.0717-6279-2020-06-0089 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/163968 | |
| dc.description | Let X and Y be two complex Banach spaces, and let B(X) denotes the algebra of all bounded linear operators on X. We characterize additive maps from B(X) onto B(Y ) compressing the pseudospectrum subsets Δ ϵ(.), where Δ ϵ(.) stands for any one of the spectral functions σ ϵ(.), σ l ϵ(.) and σ r ϵ (.) for some ϵ > 0. We also characterize the additive (resp. non-linear) maps from B(X) onto B(Y) preserving the pseudospectrum σ ϵ(.) of generalized products of operators for some ϵ > 0 (resp. for every ϵ > 0). | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Católica del Norte. | en-US |
| dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3654/3581 | |
| dc.rights | Copyright (c) 2020 Mustapha Ech-Chérif El Kettani, aziz lahssaini | en-US |
| dc.rights | http://creativecommons.org/licenses/by/4.0 | en-US |
| dc.source | Proyecciones (Antofagasta, On line); Vol. 39 No. 6 (2020); 1457-1469 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 39 Núm. 6 (2020); 1457-1469 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 10.22199/issn.0717-6279-2020-06 | |
| dc.subject | Additive maps | en-US |
| dc.subject | Pseudospectrum preservers | en-US |
| dc.subject | Generalized products | en-US |
| dc.subject | 47B49 | en-US |
| dc.subject | Transformers, preservers (linear operators on spaces of linear operators) | en-US |
| dc.subject | 47B48 | en-US |
| dc.subject | Linear operators on Banach algebras | en-US |
| dc.subject | 47A10 | en-US |
| dc.subject | Spectrum, resolvent | en-US |
| dc.title | On the pseudospectrum preservers | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Peer-reviewed Article | en-US |
| dc.type | text | en-US |
