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dc.creatorBouramdane, Youssef
dc.creatorEch-Cherif El Kettani, M.
dc.creatorElhiri, A.
dc.creatorLahssaini, A.
dc.date2020-10-01
dc.date.accessioned2020-10-16T12:44:49Z
dc.date.available2020-10-16T12:44:49Z
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3544
dc.identifier10.22199/issn.0717-6279-2020-05-0071
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/155188
dc.descriptionLet 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.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3544/3547
dc.rightsCopyright (c) 2020 Youssef Bouramdane, M. Ech-Cherif El Kettani, A. Elhiri, A. Lahssainien-US
dc.rightshttp://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 39 No. 5 (2020); 1157-1165en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 39 Núm. 5 (2020); 1157-1165es-ES
dc.source0717-6279
dc.source10.22199/issn.0717-6279-2020-05
dc.subjectFixed pointen-US
dc.subjectGeneralized producten-US
dc.subjectPreserver problemsen-US
dc.subject47B49en-US
dc.subjectTransformers, preservers (linear operators on spaces of linear operators)en-US
dc.subject47B48en-US
dc.subjectLinear operators on Banach algebrasen-US
dc.subject47A10en-US
dc.subjectSpectrum, resolventen-US
dc.subject46H05en-US
dc.subjectGeneral theory of topological algebrasen-US
dc.titleMaps preserving fixed points of generalized product of operatorsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US
dc.typetexten-US


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