Geodesic
Some results on the class of $\sigma$-unbounded Dunford-Pettis operators
Commentationes Mathematicae Universitatis Carolinae, Tome 62 (2021) no. 4, pp. 431-443.

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

We introduce and study the class of unbounded Dunford--Pettis operators. As consequences, we give basic properties and derive interesting results about the duality, domination problem and relationship with other known classes of operators.
DOI : 10.14712/1213-7243.2021.035
Classification : 46B42, 47B60, 47B65
Keywords: $\sigma$-un-Dunford--Pettis operator; unbounded norm convergence; order continuous Banach lattice; atomic Banach lattice; relatively sequentially un-compact set; Schur property 
@article{10_14712_1213_7243_2021_035,
     author = {Hafidi, Noufissa and H'michane, Jawad},
     title = {Some results on the class of $\sigma$-unbounded {Dunford-Pettis} operators},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {431--443},
     publisher = {mathdoc},
     volume = {62},
     number = {4},
     year = {2021},
     doi = {10.14712/1213-7243.2021.035},
     mrnumber = {4405814},
     zbl = {07511571},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2021.035/}
}
TY  - JOUR
AU  - Hafidi, Noufissa
AU  - H'michane, Jawad
TI  - Some results on the class of $\sigma$-unbounded Dunford-Pettis operators
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2021
SP  - 431
EP  - 443
VL  - 62
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2021.035/
DO  - 10.14712/1213-7243.2021.035
LA  - en
ID  - 10_14712_1213_7243_2021_035
ER  - 
%0 Journal Article
%A Hafidi, Noufissa
%A H'michane, Jawad
%T Some results on the class of $\sigma$-unbounded Dunford-Pettis operators
%J Commentationes Mathematicae Universitatis Carolinae
%D 2021
%P 431-443
%V 62
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2021.035/
%R 10.14712/1213-7243.2021.035
%G en
%F 10_14712_1213_7243_2021_035
Hafidi, Noufissa; H'michane, Jawad. Some results on the class of $\sigma$-unbounded Dunford-Pettis operators. Commentationes Mathematicae Universitatis Carolinae, Tome 62 (2021) no. 4, pp. 431-443. doi : 10.14712/1213-7243.2021.035. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2021.035/

Cité par Sources :