A note on L-Dunford-Pettis sets in a topological dual Banach space
Czechoslovak Mathematical Journal (2020)
- Volume: 70, Issue: 4, page 1047-1057
- ISSN: 0011-4642
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topRetbi, Abderrahman. "A note on L-Dunford-Pettis sets in a topological dual Banach space." Czechoslovak Mathematical Journal 70.4 (2020): 1047-1057. <http://eudml.org/doc/297142>.
@article{Retbi2020,
abstract = {The present paper is devoted to some applications of the notion of L-Dunford-Pettis sets to several classes of operators on Banach lattices. More precisely, we establish some characterizations of weak Dunford-Pettis, Dunford-Pettis completely continuous, and weak almost Dunford-Pettis operators. Next, we study the relationships between L-Dunford-Pettis, and Dunford-Pettis (relatively compact) sets in topological dual Banach spaces.},
author = {Retbi, Abderrahman},
journal = {Czechoslovak Mathematical Journal},
keywords = {L-Dunford-Pettis set; weak almost Dunford-Pettis operator; weak Dunford-Pettis property; Banach lattice},
language = {eng},
number = {4},
pages = {1047-1057},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on L-Dunford-Pettis sets in a topological dual Banach space},
url = {http://eudml.org/doc/297142},
volume = {70},
year = {2020},
}
TY - JOUR
AU - Retbi, Abderrahman
TI - A note on L-Dunford-Pettis sets in a topological dual Banach space
JO - Czechoslovak Mathematical Journal
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 70
IS - 4
SP - 1047
EP - 1057
AB - The present paper is devoted to some applications of the notion of L-Dunford-Pettis sets to several classes of operators on Banach lattices. More precisely, we establish some characterizations of weak Dunford-Pettis, Dunford-Pettis completely continuous, and weak almost Dunford-Pettis operators. Next, we study the relationships between L-Dunford-Pettis, and Dunford-Pettis (relatively compact) sets in topological dual Banach spaces.
LA - eng
KW - L-Dunford-Pettis set; weak almost Dunford-Pettis operator; weak Dunford-Pettis property; Banach lattice
UR - http://eudml.org/doc/297142
ER -
References
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