The weak compactness of almost Dunford-Pettis operators
Belmesnaoui Aqzzouz; Aziz Elbour; Othman Aboutafail
Commentationes Mathematicae Universitatis Carolinae (2011)
- Volume: 52, Issue: 1, page 31-35
- ISSN: 0010-2628
Access Full Article
top
Abstract
topHow to cite
topAqzzouz, Belmesnaoui, Elbour, Aziz, and Aboutafail, Othman. "The weak compactness of almost Dunford-Pettis operators." Commentationes Mathematicae Universitatis Carolinae 52.1 (2011): 31-35. <http://eudml.org/doc/246372>.
@article{Aqzzouz2011,
abstract = {We characterize Banach lattices on which every positive almost Dunford-Pettis operator is weakly compact.},
author = {Aqzzouz, Belmesnaoui, Elbour, Aziz, Aboutafail, Othman},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {almost Dunford-Pettis operator; weakly compact operator; order continuous norm; reflexive Banach space; almost Dunford-Pettis operator; weakly compact operator; Banach lattice; order continuous norm},
language = {eng},
number = {1},
pages = {31-35},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The weak compactness of almost Dunford-Pettis operators},
url = {http://eudml.org/doc/246372},
volume = {52},
year = {2011},
}
TY - JOUR
AU - Aqzzouz, Belmesnaoui
AU - Elbour, Aziz
AU - Aboutafail, Othman
TI - The weak compactness of almost Dunford-Pettis operators
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2011
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 52
IS - 1
SP - 31
EP - 35
AB - We characterize Banach lattices on which every positive almost Dunford-Pettis operator is weakly compact.
LA - eng
KW - almost Dunford-Pettis operator; weakly compact operator; order continuous norm; reflexive Banach space; almost Dunford-Pettis operator; weakly compact operator; Banach lattice; order continuous norm
UR - http://eudml.org/doc/246372
ER -
References
top- Aliprantis C.D., Burkinshaw O., Positive Operators, reprint of the 1985 original, Springer, Dordrecht, 2006. Zbl1098.47001MR2262133
- Aqzzouz B., Nouira R., Zraoula L., 10.1090/S0002-9939-05-08083-4, Proc. Amer. Math. Soc. 134 (2006), 1161–1165. Zbl1099.46016MR2196052DOI10.1090/S0002-9939-05-08083-4
- Meyer-Nieberg P., Banach Lattices, Universitext, Springer, Berlin, 1991. Zbl0743.46015MR1128093
- Wnuk W., Banach lattices with the weak Dunford-Pettis property, Atti Sem. Mat. Fis. Univ. Modena 42 (1994), no. 1, 227–236. Zbl0805.46023MR1282338
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.