dc.creator | Bouramdane, Youssef | |
dc.creator | Ech-Cherif El Kettani, M. | |
dc.creator | Elhiri, A. | |
dc.creator | Lahssaini, A. | |
dc.date | 2020-10-01 | |
dc.date.accessioned | 2020-10-16T12:44:49Z | |
dc.date.available | 2020-10-16T12:44:49Z | |
dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3544 | |
dc.identifier | 10.22199/issn.0717-6279-2020-05-0071 | |
dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/155188 | |
dc.description | Let B(X) be the algebra of all bounded linear operators in a complex Banach space X. For A ? B(X) let F (A) be the subspace of fixed point of A. For an integer k ? 2, let (i1, .., im) be a finite sequence with terms chosen from {1, · · · , k}, and assume at least one of the terms in (i1, · · · , im) appears exactly once. The generalized product of k operators A1, ..., Ak ? B(X) is defined by
A1 ? A2 ? · · · ? Ak = Ai? Ai? · · · Aim ,
and includes the usual product and the triple product. We characterize the form of maps from B(X) onto itself satisfying
F (?(A1) ? · · · ? ?(Ak)) = F (A1 ? · · · ? Ak)
for all A1, · · · , Ak ? B(X). | 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/3544/3547 | |
dc.rights | Copyright (c) 2020 Youssef Bouramdane, M. Ech-Cherif El Kettani, A. Elhiri, A. Lahssaini | en-US |
dc.rights | http://creativecommons.org/licenses/by/4.0 | en-US |
dc.source | Proyecciones (Antofagasta, On line); Vol. 39 No. 5 (2020); 1157-1165 | en-US |
dc.source | Proyecciones. Revista de Matemática; Vol. 39 Núm. 5 (2020); 1157-1165 | es-ES |
dc.source | 0717-6279 | |
dc.source | 10.22199/issn.0717-6279-2020-05 | |
dc.subject | Fixed point | en-US |
dc.subject | Generalized product | en-US |
dc.subject | Preserver problems | 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.subject | 46H05 | en-US |
dc.subject | General theory of topological algebras | en-US |
dc.title | Maps preserving fixed points of generalized product of operators | 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 |