Geodesic
$wMB$-Property of Order $p$ in Banach Spaces
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 1, p. 29 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper, we introduce a new property of Banach spaces called $wMB$-property of order $p$ ($1 \leq p \infty$). A necessary and sufficient condition for a Banach space to have the $wMB$-property of order $p$ is given. We study $p$-convergent operators and weakly-$p$-$L$-sets. Banach spaces with the $wMB$-property of order $p$ are characterized. Also, the Dunford-Pettis property of order $p$ and $DP^*$-property of order $p$ are studied in Banach spaces. Finally we show the relation between Pelczynski's property $(V)$ and $wMB$-property of order $p$.
Classification : 46B20, 46B25, 46B28
Keywords: p-convergent operators, weakly-p-L-sets, Dunford-Pettis property of order p 
@article{KJM_2022_46_1_a2,
     author = {Manijeh Bahreini Esfahani},
     title = {$wMB${-Property} of {Order} $p$ in {Banach} {Spaces}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {29 },
     publisher = {mathdoc},
     volume = {46},
     number = {1},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2022_46_1_a2/}
}
TY  - JOUR
AU  - Manijeh Bahreini Esfahani
TI  - $wMB$-Property of Order $p$ in Banach Spaces
JO  - Kragujevac Journal of Mathematics
PY  - 2022
SP  - 29 
VL  - 46
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KJM_2022_46_1_a2/
LA  - en
ID  - KJM_2022_46_1_a2
ER  - 
%0 Journal Article
%A Manijeh Bahreini Esfahani
%T $wMB$-Property of Order $p$ in Banach Spaces
%J Kragujevac Journal of Mathematics
%D 2022
%P 29 
%V 46
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KJM_2022_46_1_a2/
%G en
%F KJM_2022_46_1_a2
Manijeh Bahreini Esfahani. $wMB$-Property of Order $p$ in Banach Spaces. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 1, p. 29 . http://geodesic.mathdoc.fr/item/KJM_2022_46_1_a2/