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/