Abstract
We give a necessary and sufficient conditions for which the domination problem admits a positive solution for the class of positive Null almost L-weakly compact operators, this study ends with an open question which will discussed later. We then consider, the linear span of positive Null almost L-weakly (resp., Null almost M-weakly) compact operators and give results about when they form a Banach lattice and have an order continuous norm.
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Abdennabi, E.A., Khalid, B. On the domination problem of positive Null almost L-weakly compact operators on Banach lattices. Positivity 27, 44 (2023). https://doi.org/10.1007/s11117-023-00995-5
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DOI: https://doi.org/10.1007/s11117-023-00995-5
Keywords
- Banach lattice
- Positive operator
- Domination problem
- Null almost L-weakly compact operator
- Dunford-Pettis operator