Non-linear maps preserving singular algebraic operators

dc.creator	Oudghiri, Mourad	es
dc.creator	Souilah, Khalid	es
dc.date	2017-03-23
dc.date.accessioned	2025-10-06T15:04:52Z
dc.date.available	2025-10-06T15:04:52Z
dc.identifier	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1221
dc.identifier	10.4067/S0716-09172016000300007
dc.identifier.uri	https://revistaschilenas.uchile.cl/handle/2250/255391
dc.description	Let B(H) be the algebra of all bounded linear operators on an infinite-dimensional Hilbert space H. We prove that if Φ is a surjective map on B(H) such that Φ(I) = I + Φ(0) and for every pair T, S ∈ B(H), the operator T — S is singular algebraic if and only if Φ(T) — Φ(S) is singular algebraic, then Φ is either of the form Φ(T) = ATA-1 + Φ(0) or the form Φ(T) = AT*A-1 + Φ(0) where A : H → H is an invertible bounded linear, or conjugate linear, operator.	es
dc.format	application/pdf
dc.language	spa
dc.publisher	Universidad Católica del Norte.	en
dc.relation	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1221/934
dc.rights	Copyright (c) 2016 Proyecciones. Journal of Mathematics	en
dc.rights	https://creativecommons.org/licenses/by/4.0	en
dc.source	Proyecciones (Antofagasta); Vol. 35 No. 3 (2016); 301-316	en
dc.source	Proyecciones. Revista de Matemática; Vol. 35 Núm. 3 (2016); 301-316	es
dc.source	0717-6279
dc.source	10.22199/issn.0717-6279-2016
dc.title	Non-linear maps preserving singular algebraic operators	es
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion