Factorization and domination of positive Banach-Saks operators

Julio Flores, and Pedro Tradacete. "Factorization and domination of positive Banach-Saks operators." Studia Mathematica 189.1 (2008): 91-101. <http://eudml.org/doc/285102>.

@article{JulioFlores2008,
abstract = {It is proved that every positive Banach-Saks operator T: E → 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.},
author = {Julio Flores, Pedro Tradacete},
journal = {Studia Mathematica},
keywords = {Banach lattices; Banach-Saks operator; positive operator; order continuous norm; domination problem; factorization},
language = {eng},
number = {1},
pages = {91-101},
title = {Factorization and domination of positive Banach-Saks operators},
url = {http://eudml.org/doc/285102},
volume = {189},
year = {2008},
}

TY - JOUR
AU - Julio Flores
AU - Pedro Tradacete
TI - Factorization and domination of positive Banach-Saks operators
JO - Studia Mathematica
PY - 2008
VL - 189
IS - 1
SP - 91
EP - 101
AB - It is proved that every positive Banach-Saks operator T: E → 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.
LA - eng
KW - Banach lattices; Banach-Saks operator; positive operator; order continuous norm; domination problem; factorization
UR - http://eudml.org/doc/285102
ER -