L-Dunford–Pettis and Almost L-Dunford–Pettis Sets in Dual Banach Lattices

L-Dunford–Pettis and Almost L-Dunford–Pettis Sets in Dual Banach Lattices

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Following the concept of L–limited sets in dual Banach spaces introduced by Salimi and Moshtaghioun, we introduce the concepts of L–Dunford–Pettis and almost L–Dunford–Pettis sets in dual Banach lattices and then by a class of operators on Banach lattices, so called disjoint Dunford–Pettis completel...

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Bibliographic Details
Main Authors: Halimeh Ardakani, Manijeh Salimi
Format: Article
Language:English
Published: Etamaths Publishing 2018-03-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/1575
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spelling doaj-bf963d06de08439e804d96087206e1282020-11-25T00:44:07ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392018-03-01162149161293L-Dunford–Pettis and Almost L-Dunford–Pettis Sets in Dual Banach LatticesHalimeh ArdakaniManijeh SalimiFollowing the concept of L–limited sets in dual Banach spaces introduced by Salimi and Moshtaghioun, we introduce the concepts of L–Dunford–Pettis and almost L–Dunford–Pettis sets in dual Banach lattices and then by a class of operators on Banach lattices, so called disjoint Dunford–Pettis completely continuous operators, we characterize Banach lattices in which almost L–Dunford–Pettis subsets of their dual, coincide with L–Dunford–Pettis sets.http://www.etamaths.com/index.php/ijaa/article/view/1575
collection DOAJ
language English
format Article
sources DOAJ
author Halimeh Ardakani
Manijeh Salimi
spellingShingle Halimeh Ardakani
Manijeh Salimi
L-Dunford–Pettis and Almost L-Dunford–Pettis Sets in Dual Banach Lattices
International Journal of Analysis and Applications
author_facet Halimeh Ardakani
Manijeh Salimi
author_sort Halimeh Ardakani
title L-Dunford–Pettis and Almost L-Dunford–Pettis Sets in Dual Banach Lattices
title_short L-Dunford–Pettis and Almost L-Dunford–Pettis Sets in Dual Banach Lattices
title_full L-Dunford–Pettis and Almost L-Dunford–Pettis Sets in Dual Banach Lattices
title_fullStr L-Dunford–Pettis and Almost L-Dunford–Pettis Sets in Dual Banach Lattices
title_full_unstemmed L-Dunford–Pettis and Almost L-Dunford–Pettis Sets in Dual Banach Lattices
title_sort l-dunford–pettis and almost l-dunford–pettis sets in dual banach lattices
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2018-03-01
description Following the concept of L–limited sets in dual Banach spaces introduced by Salimi and Moshtaghioun, we introduce the concepts of L–Dunford–Pettis and almost L–Dunford–Pettis sets in dual Banach lattices and then by a class of operators on Banach lattices, so called disjoint Dunford–Pettis completely continuous operators, we characterize Banach lattices in which almost L–Dunford–Pettis subsets of their dual, coincide with L–Dunford–Pettis sets.
url http://www.etamaths.com/index.php/ijaa/article/view/1575
work_keys_str_mv AT halimehardakani ldunfordpettisandalmostldunfordpettissetsindualbanachlattices
AT manijehsalimi ldunfordpettisandalmostldunfordpettissetsindualbanachlattices
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