Powers of Operators Dominated by Strictly Singular Operators (original) (raw)

Profile image of Francisco Lisón HernandezFrancisco Lisón Hernandez

2007, The Quarterly Journal of Mathematics

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14 pages

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It is proved that every positive operator R on a Banach lattice E dominated by a strictly singular operator T : E → E satisfies that the R 4 is strictly singular. Moreover, if E is order continuous then the R 2 is already strictly singular.

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