Geodesic
Domination by positive Banach–Saks operators
Julio Flores1 ; César Ruiz2
1 Departamento de Matemática y Física Aplicadas Escet Universidad Rey Juan Carlos 28933 Madrid, Spain
2 Departamento de Análisis Matemático Facultad de Matemáticas Universidad Complutense 28040 Madrid, Spain
Studia Mathematica, Tome 173 (2006) no. 2, pp. 185-192

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Given a positive Banach–Saks operator $T$ between two Banach lattices $E$ and $F$, we give sufficient conditions on $E$ and $F$ in order to ensure that every positive operator dominated by $T$ is Banach–Saks. A counterexample is also given when these conditions are dropped. Moreover, we deduce a characterization of the Banach–Saks property in Banach lattices in terms of disjointness.
DOI : 10.4064/sm173-2-5
Keywords: given positive banach saks operator between banach lattices sufficient conditions order ensure every positive operator dominated banach saks counterexample given these conditions dropped moreover deduce characterization banach saks property banach lattices terms disjointness

Julio Flores 1 ; César Ruiz 2

1 Departamento de Matemática y Física Aplicadas Escet Universidad Rey Juan Carlos 28933 Madrid, Spain
2 Departamento de Análisis Matemático Facultad de Matemáticas Universidad Complutense 28040 Madrid, Spain 
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Julio Flores; César Ruiz. Domination by positive Banach–Saks operators. Studia Mathematica, Tome 173 (2006) no. 2, pp. 185-192. doi: 10.4064/sm173-2-5

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