Geodesic
Factorization and domination of positive 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
Studia Mathematica, Tome 189 (2008) no. 1, pp. 91-101 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 
@article{10_4064_sm189_1_7,
     author = {Julio Flores and Pedro Tradacete},
     title = {Factorization and domination of
 positive {Banach{\textendash}Saks} operators},
     journal = {Studia Mathematica},
     pages = {91--101},
     year = {2008},
     volume = {189},
     number = {1},
     doi = {10.4064/sm189-1-7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm189-1-7/}
}
TY  - JOUR
AU  - Julio Flores
AU  - Pedro Tradacete
TI  - Factorization and domination of
 positive Banach–Saks operators
JO  - Studia Mathematica
PY  - 2008
SP  - 91
EP  - 101
VL  - 189
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm189-1-7/
DO  - 10.4064/sm189-1-7
LA  - en
ID  - 10_4064_sm189_1_7
ER  - 
%0 Journal Article
%A Julio Flores
%A Pedro Tradacete
%T Factorization and domination of
 positive Banach–Saks operators
%J Studia Mathematica
%D 2008
%P 91-101
%V 189
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/sm189-1-7/
%R 10.4064/sm189-1-7
%G en
%F 10_4064_sm189_1_7
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

Cité par Sources :