Geodesic
A note on L-Dunford-Pettis sets in a topological dual Banach space
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 4, pp. 1047-1057.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
DOI : 10.21136/CMJ.2020.0119-19
Classification : 46A40, 46B40, 46B42
Keywords: L-Dunford-Pettis set; weak almost Dunford-Pettis operator; weak Dunford-Pettis property; Banach lattice 
@article{10_21136_CMJ_2020_0119_19,
     author = {Retbi, Abderrahman},
     title = {A note on {L-Dunford-Pettis} sets in a topological dual {Banach} space},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1047--1057},
     publisher = {mathdoc},
     volume = {70},
     number = {4},
     year = {2020},
     doi = {10.21136/CMJ.2020.0119-19},
     mrnumber = {4181795},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0119-19/}
}
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
SP  - 1047
EP  - 1057
VL  - 70
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0119-19/
DO  - 10.21136/CMJ.2020.0119-19
LA  - en
ID  - 10_21136_CMJ_2020_0119_19
ER  - 
%0 Journal Article
%A Retbi, Abderrahman
%T A note on L-Dunford-Pettis sets in a topological dual Banach space
%J Czechoslovak Mathematical Journal
%D 2020
%P 1047-1057
%V 70
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0119-19/
%R 10.21136/CMJ.2020.0119-19
%G en
%F 10_21136_CMJ_2020_0119_19
Retbi, Abderrahman. A note on L-Dunford-Pettis sets in a topological dual Banach space. Czechoslovak Mathematical Journal, Tome 70 (2020) no. 4, pp. 1047-1057. doi : 10.21136/CMJ.2020.0119-19. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0119-19/

Cité par Sources :