A characterization of Almost Grothendieck sets

Akay B.

CAIM 2024 Conference on Applied and Industrial Mathematics, Oradea, Romania, 19 - 22 September 2024, pp.30, (Summary Text)

  • Publication Type: Conference Paper / Summary Text
  • City: Oradea
  • Country: Romania
  • Page Numbers: pp.30
  • Istanbul University Affiliated: Yes

Abstract

 In Banach lattice theory, various sets are defined by using disjoint sequences. Almost Grothendieck sets have been introduced in [1] as a disjoint version of Grothendieck sets. This class of sets characterize the weak Grothendieck property, which is first introduced in [2]. In this talk, we give a new characterization of almost Grothendieck sets and obtain some results on almost Grothendieck operators.

Bibliography

[1] P. Galindo, V.C.C. Miranda, Grothendieck-type subsets of Banach lattices, Journal of Mathe matical Analysis and Applications, 506 (1) (2022), Paper No. 125570, 14 pp.

[2] N. Machrafi, K. El Fahri, M. Moussa, B. Altin, A note on weak almost limited operators, Hacettepe Journal of Mathematics and Statistics, 48 (3) (2019), 759-770.