3 papers
math.FA2025
Gelfand-Phillips-type properties in Banach lattices
Halimeh Ardakani, Vinícius C. C. Miranda
We study -limited and almost -limited sets in Banach lattices and their connections with relatively -compact and relatively compact sets. We investigate the weak and the s…
math.FA2024
Totally bounded sets in the absolute weak topology
Halimeh Ardakani, Jin Xi Chen
In this paper, almost Dunford-Pettis operators with ranges in are used to identify totally bounded sets in the absolute weak topology. That is, a bounded subset of a Bana…
math.FA2015
Order almost DUNFORD-PETTIS Operators on Banach lattices
H. Ardakani, S. M. S. Modarres Mosadegh
By introducing the concepts of order almost Dunford-Pettis and almost weakly limited operators in Banach lattices, we give some properties of them related to some well known classe…