Stability of weighted composition operators between spaces of continuous functions
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Stability of weighted composition operators between spaces of continuous functionsData de publicació
2009Editor
London Mathematical SocietyISSN
0024-6107Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://jlms.oxfordjournals.org/content/early/2009/01/13/jlms.jdn079.shortVersió
info:eu-repo/semantics/sumittedVersionResum
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. [-]
Publicat a
Journal of the London Mathematical Society, 79, 2, p. 363-376Drets d'accés
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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