Stability of weighted composition operators between spaces of continuous functions

dc.contributor.author	Araujo Gómez, Jesús
dc.contributor.author	Font, Juan J.
dc.date.accessioned	2014-06-25T12:22:47Z
dc.date.available	2014-06-25T12:22:47Z
dc.date.issued	2009
dc.identifier.issn	0024-6107
dc.identifier.uri	http://hdl.handle.net/10234/96093
dc.description.abstract	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.	ca_CA
dc.format.extent	13 p.	ca_CA
dc.format.mimetype	application/pdf	ca_CA
dc.language.iso	eng	ca_CA
dc.publisher	London Mathematical Society	ca_CA
dc.relation.isPartOf	Journal of the London Mathematical Society, 79, 2, p. 363-376	ca_CA
dc.rights.uri	http://rightsstatements.org/vocab/CNE/1.0/	*
dc.title	Stability of weighted composition operators between spaces of continuous functions	ca_CA
dc.type	info:eu-repo/semantics/article	ca_CA
dc.identifier.doi	http://dx.doi.org/10.1112/jlms/jdn079
dc.rights.accessRights	info:eu-repo/semantics/openAccess	ca_CA
dc.relation.publisherVersion	http://jlms.oxfordjournals.org/content/early/2009/01/13/jlms.jdn079.short	ca_CA
dc.type.version	info:eu-repo/semantics/sumittedVersion