Nonlinear maps preserving certain subspaces

Abstract Let X be a Banach space and let B(X) be the Banach algebra of all bounded linear operators on X. We characterise surjective (not necessarily linear or additive) maps ϕ : B(X) → B(X) such that F(ϕ (A)◇ ϕ (B)) = F(A ◇ B) for all A,B &am...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Benbouziane,H., Bouramdane,Y., Kettani,M. Ech-Chérif El
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2019
Materias:	Kernel operator Nonlinear preservers problema Range operator
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000100163
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:scielo:S0716-09172019000100163
record_format	dspace
spelling	oai:scielo:S0716-091720190001001632019-02-08Nonlinear maps preserving certain subspacesBenbouziane,H.Bouramdane,Y.Kettani,M. Ech-Chérif El Kernel operator Nonlinear preservers problema Range operator Abstract Let X be a Banach space and let B(X) be the Banach algebra of all bounded linear operators on X. We characterise surjective (not necessarily linear or additive) maps ϕ : B(X) → B(X) such that F(ϕ (A)◇ ϕ (B)) = F(A ◇ B) for all A,B ∈ B(X) where F(A) denotes any of R(A) or N(A), anda ◇ B denotes any binary operations A−B, AB and ABA for all A,B ∈B(X).info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.1 20192019-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000100163en10.4067/S0716-09172019000100163
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Kernel operator Nonlinear preservers problema Range operator
spellingShingle	Kernel operator Nonlinear preservers problema Range operator Benbouziane,H. Bouramdane,Y. Kettani,M. Ech-Chérif El Nonlinear maps preserving certain subspaces
description	Abstract Let X be a Banach space and let B(X) be the Banach algebra of all bounded linear operators on X. We characterise surjective (not necessarily linear or additive) maps ϕ : B(X) → B(X) such that F(ϕ (A)◇ ϕ (B)) = F(A ◇ B) for all A,B ∈ B(X) where F(A) denotes any of R(A) or N(A), anda ◇ B denotes any binary operations A−B, AB and ABA for all A,B ∈B(X).
author	Benbouziane,H. Bouramdane,Y. Kettani,M. Ech-Chérif El
author_facet	Benbouziane,H. Bouramdane,Y. Kettani,M. Ech-Chérif El
author_sort	Benbouziane,H.
title	Nonlinear maps preserving certain subspaces
title_short	Nonlinear maps preserving certain subspaces
title_full	Nonlinear maps preserving certain subspaces
title_fullStr	Nonlinear maps preserving certain subspaces
title_full_unstemmed	Nonlinear maps preserving certain subspaces
title_sort	nonlinear maps preserving certain subspaces
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2019
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000100163
work_keys_str_mv	AT benbouzianeh nonlinearmapspreservingcertainsubspaces AT bouramdaney nonlinearmapspreservingcertainsubspaces AT kettanimechcherifel nonlinearmapspreservingcertainsubspaces
_version_	1718439845927321600

Nonlinear maps preserving certain subspaces

Ejemplares similares