Stability of weighted composition operators between spaces of continuous functions
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Título
Stability of weighted composition operators between spaces of continuous functionsFecha de publicación
2009Editor
London Mathematical SocietyISSN
0024-6107Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://jlms.oxfordjournals.org/content/early/2009/01/13/jlms.jdn079.shortVersión
info:eu-repo/semantics/sumittedVersionResumen
Let ϵ>0. A continuous linear operator T:C(X)→C(Y) is said to be ϵ-disjointness preserving if ‖ (Tf)(Tg)‖∞≤ϵ whenever f, g∈C(X) satisfy ‖ f‖∞=‖ g‖∞=1 and fg≡ 0. In this paper we basically address the following question: ... [+]
Let ϵ>0. A continuous linear operator T:C(X)→C(Y) is said to be ϵ-disjointness preserving if ‖ (Tf)(Tg)‖∞≤ϵ whenever f, g∈C(X) satisfy ‖ f‖∞=‖ g‖∞=1 and fg≡ 0. In this paper we basically address the following question: How close must weighted composition operators be to a given ϵ-disjointness preserving operator?
We provide sharp stability bounds. [-]
Publicado en
Journal of the London Mathematical Society, 79, 2, p. 363-376Derechos de acceso
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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