Stability of weighted composition operators between spaces of continuous functions
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Title
Stability of weighted composition operators between spaces of continuous functionsDate
2009Publisher
London Mathematical SocietyISSN
0024-6107Type
info:eu-repo/semantics/articleVersion
info:eu-repo/semantics/sumittedVersionAbstract
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. [-]
Is part of
Journal of the London Mathematical Society, 79, 2, p. 363-376Rights
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info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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- MAT_Articles [751]