Covering dimension and nonlinear equations

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dc.creatorRicceri, Biagio
dc.date2004-12-31
dc.date.accessioned2026-07-07T05:15:44Z
dc.date.available2026-07-07T05:15:44Z
dc.descriptionTheorem: Let X and Y be two Banach spaces, Phi: X to Y a continuous, linear, surjective operator, and Psi: X to Y a completely continuous operator with bounded range. Then, one has dim{x in X : Phi(x)=Psi(x)} >= dim(Phi^{-1}(0)). Here dim denotes the covering dimension.
dc.description3 pages
dc.identifierhttps://arxiv.org/abs/math/0412563
dc.identifierhttp://arxiv.org/abs/math/0412563
dc.identifierRIMS Kokyuroku 1031, 97-100 (1998)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73734
dc.subjectFunctional Analysis
dc.subject47J05, 47H10
dc.titleCovering dimension and nonlinear equations
dc.typetext

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