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Domination by Positive Narrow Operators
Authors:Flores  Julio  Ruiz  César
Institution:(1) Facultad de Matemáticas, Departamento de Análisis Matemático, Universidad Complutense, E-28040 Madrid, Spain
Abstract:We prove that each positive operator from a Köthe function-space E(mgr) to a Banach lattice F with a narrow majorant is itself narrow provided the norm on F is order continuous. We also prove that every l 2-strictly singular regular operator from L p0,1], 1lep < infin, to a Banach lattice F is narrow, provided F has an order continuous norm.
Keywords:
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