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## Almost L-Dunford-Pettis sets in Banach lattices and its applications

#### Abderrahman RETBI [1]

We introduce and study the notion of almost L-Dunford-Pettis sets in Banach lattices and we give some characterizations of it in terms of sequences. As an application, we establish new properties of almost Dunford-Pettis completely continuous operators. Finally, by introducing the concept of aL-Dunford-Pettis property in Banach lattices, we investigate the weak compactness of almost Dunford-Pettis completely continuous operator.
Banach lattice, Dunford-Pettis set, relatively compact Dunford-Pettis property, Dunford-Pettis completely continuous operator
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Birincil Dil en Matematik Matematik Orcid: 0000-0002-0868-1563Yazar: Abderrahman RETBI (Sorumlu Yazar)Kurum: Ibn Tofail UniversityÜlke: Morocco Yayımlanma Tarihi : 2 Nisan 2020
 Bibtex @araştırma makalesi { hujms568386, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe Üniversitesi}, year = {2020}, volume = {49}, pages = {599 - 607}, doi = {10.15672/hujms.568386}, title = {Almost L-Dunford-Pettis sets in Banach lattices and its applications}, key = {cite}, author = {RETBI, Abderrahman} } APA RETBI, A . (2020). Almost L-Dunford-Pettis sets in Banach lattices and its applications. Hacettepe Journal of Mathematics and Statistics , 49 (2) , 599-607 . DOI: 10.15672/hujms.568386 MLA RETBI, A . "Almost L-Dunford-Pettis sets in Banach lattices and its applications". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 599-607 Chicago RETBI, A . "Almost L-Dunford-Pettis sets in Banach lattices and its applications". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 599-607 RIS TY - JOUR T1 - Almost L-Dunford-Pettis sets in Banach lattices and its applications AU - Abderrahman RETBI Y1 - 2020 PY - 2020 N1 - doi: 10.15672/hujms.568386 DO - 10.15672/hujms.568386 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 599 EP - 607 VL - 49 IS - 2 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.568386 UR - https://doi.org/10.15672/hujms.568386 Y2 - 2019 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Almost L-Dunford-Pettis sets in Banach lattices and its applications %A Abderrahman RETBI %T Almost L-Dunford-Pettis sets in Banach lattices and its applications %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 49 %N 2 %R doi: 10.15672/hujms.568386 %U 10.15672/hujms.568386 ISNAD RETBI, Abderrahman . "Almost L-Dunford-Pettis sets in Banach lattices and its applications". Hacettepe Journal of Mathematics and Statistics 49 / 2 (Nisan 2020): 599-607 . https://doi.org/10.15672/hujms.568386 AMA RETBI A . Almost L-Dunford-Pettis sets in Banach lattices and its applications. Hacettepe Journal of Mathematics and Statistics. 2020; 49(2): 599-607. Vancouver RETBI A . Almost L-Dunford-Pettis sets in Banach lattices and its applications. Hacettepe Journal of Mathematics and Statistics. 2020; 49(2): 607-599.

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