A complement of positive weak almost Dunford-Pettis operators on Banach lattices
Archivum Mathematicum (2019)
- Volume: 055, Issue: 1, page 1-6
- ISSN: 0044-8753
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topRetbi, Abderrahman. "A complement of positive weak almost Dunford-Pettis operators on Banach lattices." Archivum Mathematicum 055.1 (2019): 1-6. <http://eudml.org/doc/294709>.
@article{Retbi2019,
abstract = {In this paper, we give some necessary and sufficient conditions such that each positive operator between two Banach lattices is weak almost Dunford-Pettis, and we derive some interesting results about the weak Dunford-Pettis property in Banach lattices.},
author = {Retbi, Abderrahman},
journal = {Archivum Mathematicum},
keywords = {Banach lattice; weak almost Dunford-Pettis operator; weak Dunford-Pettis property},
language = {eng},
number = {1},
pages = {1-6},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A complement of positive weak almost Dunford-Pettis operators on Banach lattices},
url = {http://eudml.org/doc/294709},
volume = {055},
year = {2019},
}
TY - JOUR
AU - Retbi, Abderrahman
TI - A complement of positive weak almost Dunford-Pettis operators on Banach lattices
JO - Archivum Mathematicum
PY - 2019
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 055
IS - 1
SP - 1
EP - 6
AB - In this paper, we give some necessary and sufficient conditions such that each positive operator between two Banach lattices is weak almost Dunford-Pettis, and we derive some interesting results about the weak Dunford-Pettis property in Banach lattices.
LA - eng
KW - Banach lattice; weak almost Dunford-Pettis operator; weak Dunford-Pettis property
UR - http://eudml.org/doc/294709
ER -
References
top- Aliprantis, C.D., Burkinshaw, O., Positive operators, Springer, Dordrecht, 2006, Reprint of the 1985 original. (2006) MR2262133
- Bouras, K., 10.1007/s12215-013-0105-y, Rend. Circ. Mat. Palermo (2) 62 (2013), 227–236. (2013) MR3090872DOI10.1007/s12215-013-0105-y
- Bouras, K., Moussa, M., Banach lattice with weak Dunford-Pettis property, International Journal of Information and Mathematical Sciences 6 (3) (2010), 203–207. (2010)
- Meyer-Nieberg, P., Banach lattices, Tech. report, Universitext, 1991, Springer-Verlag, Berlin. (1991) Zbl0743.46015MR1128093
- Schaefer, H.H., Banach Lattices and Positive Operators, Springer-Verlag, Berlin – New York, 1974. (1974) Zbl0296.47023MR0423039
- Wnuk, W., Banach lattices with the weak Dunford-Pettis property, Atti Sem. Mat. Fis. Univ. Modena 42 (1) (1994), 227–236. (1994) MR1282338
- Wnuk, W., Banach Lattices with Order Continuous Norms, Polish Scientific Publishers, Warsaw, 1999. (1999)
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