References

  1. Aliprantis Ñ.D., Burkinshaw O. Positive Operators. Springer, Dordrecht, 2006.
  2. Ardakani H., Mosadegh S.M.S.M., Moshtaghioun M., Salimi M. The strong Gelfand-Phillips property in Banach lattices. Banach J. Math. Anal. 2016, 10 (1), 15–26. doi:10.1215/17358787-3158354
  3. Bouras K. Almost Dunford-Pettis sets in Banach lattices. Rend. Circ. Mat. Palermo (2) 2013, 62 (2), 227–236. doi:10.1007/s12215-013-0105-y
  4. Bourgain J., Diestel J. Limited operators and strict cosingularity. Math. Nachr. 1984, 119 (1), 55–58. doi:10.1002/mana.19841190105
  5. Carrión H., Galindo P., Lourenço M.L. Banach spaces whose bounded sets are bounding in bidual. Ann. Acad. Sci. Fenn. Math. 2006, 31 (1), 61–70.
  6. Carrión H., Galindo P., Lourenço M.L. A stronger Dunford-Pettis property. Studia Math. 2008, 184 (3), 205–216.
  7. Chen J.X., Chen Z.L., Ji G.X. Almost limited sets in Banach lattices. J. Math. Anal. Appl. 2014, 412 (1), 547–553. doi:10.1016/j.jmaa.2013.10.085
  8. Diximier J. Sur un théorème de Banach. Duke Math. J. 1948, 15 (4), 1057–1071. doi:10.1215/S0012-7094-48-01595-6
  9. Drewnowski L. On Banach spaces with the Gelfand-Phillips property. Math. Z. 1986, 193, 405–411.
  10. Leung D.H. On the weak Dunford-Pettis property. Arch. Math. 1989, 52, 363–364. doi:10.1007/BF01194411
  11. Lourenço M.L., Miranda V.C.C. The property (d) and the almost limited completely continuous operators. Anal. Math. 2022, 49, 225–241. doi:10.1007/s10476-023-0190-x
  12. Machrafi N., Fahri K.El., Moussa M., Altin B. A note on weak almost limited operators. Hacet. J. Math. Stat. 2019, 48 (3), 759–770. doi:10.15672/HJMS.2018.550
  13. Meyer-Nieberg P. Banach Lattices. In: Berestycki N., Casacuberta C. (Eds.) Universitext. Springer-Verlag, Berlin Heidelberg, 1991.
  14. Stegall C. Duals of Certain Spaces With the Dunford-Pettis Property. Notices Amer. Math. Soc. 1972, 19.
  15. Wnuk W. On the dual positive Schur property in Banach lattices. Positivity 2013, 17, 759–773. doi:10.1007/s11117-012-0203-7