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Studia Mathematica
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Studia Mathematica
Article . 2006 . Peer-reviewed
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Domination by positive Banach–Saks operators

Authors: Julio Flores; César Ruiz;

Domination by positive Banach–Saks operators

Abstract

Given a positive Banach-Saks operator T between two Banach lattices E and F, we give sufficient conditions onE and F in order to ensure that every positive operator dominated by T is Banach-Saks. A counterexample is also given when these con- ditions are dropped. Moreover, we deduce a characterization of the Banach-Saks property in Banach lattices in terms of disjointness.

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Top 10%
Top 10%
Average
bronze