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

Ardakani, Halimeh; Salimi, Manijeh

doi:10.28924/2291-8639-16-2018-149

Research Article

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

Halimeh Ardakani*
Manijeh Salimi

* Corresponding author

Abstract

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.

How to Cite

H. Ardakani, M. Salimi, L-Dunford-Pettis and Almost L-Dunford-Pettis Sets in Dual Banach Lattices, Int. J. Anal. Appl. 16 (2018), 149–161. https://doi.org/10.28924/2291-8639-16-2018-149

BibTeX

@article{Ardakani2018,
  author  = {Ardakani, Halimeh and Salimi, Manijeh},
  title   = {L-Dunford-Pettis and Almost L-Dunford-Pettis Sets in Dual Banach Lattices},
  journal = {Int. J. Anal. Appl.},
  volume  = {16},
  year    = {2018},
  pages   = {149--161},
  doi     = {10.28924/2291-8639-16-2018-149}
}

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