Geodesic
Factorization and domination of positive Banach–Saks operators
Julio Flores1 ; Pedro Tradacete2
1 Department of Applied Mathematics, Escet Universidad Rey Juan Carlos 28933, Móstoles, Madrid, Spain
2 Departamento de Análisis Matemático Facultad de Ciencias Matemáticas Universidad Complutense de Madrid 28040, Madrid, Spain
Studia Mathematica, Tome 189 (2008) no. 1, pp. 91-101

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

It is proved that every positive Banach–Saks operator $T:E\rightarrow F$ between Banach lattices $E$ and $F$ factors through a Banach lattice with the Banach–Saks property, provided that $F$ has order continuous norm. By means of an example we show that this order continuity condition cannot be removed. In addition, some domination results, in the Dodds–Fremlin sense, are obtained for the class of Banach–Saks operators.
DOI : 10.4064/sm189-1-7
Keywords: proved every positive banach saks operator rightarrow between banach lattices factors through banach lattice banach saks property provided has order continuous norm means example order continuity condition cannot removed addition domination results dodds fremlin sense obtained class banach saks operators

Julio Flores 1 ; Pedro Tradacete 2

1 Department of Applied Mathematics, Escet Universidad Rey Juan Carlos 28933, Móstoles, Madrid, Spain
2 Departamento de Análisis Matemático Facultad de Ciencias Matemáticas Universidad Complutense de Madrid 28040, Madrid, Spain 
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Julio Flores; Pedro Tradacete. Factorization and domination of
 positive Banach–Saks operators. Studia Mathematica, Tome 189 (2008) no. 1, pp. 91-101. doi: 10.4064/sm189-1-7

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