Domination by Positive Narrow Operators |
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Authors: | Flores Julio Ruiz César |
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Institution: | (1) Facultad de Matemáticas, Departamento de Análisis Matemático, Universidad Complutense, E-28040 Madrid, Spain |
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Abstract: | We prove that each positive operator from a Köthe function-space E() 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], 1p < , to a Banach lattice F is narrow, provided F has an order continuous norm. |
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Keywords: | |
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