A characterization of Almost Grothendieck sets

Akay B.

CAIM 2024 Conference on Applied and Industrial Mathematics, Oradea, Romanya, 19 - 22 Eylül 2024, ss.30

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: Oradea
  • Basıldığı Ülke: Romanya
  • Sayfa Sayıları: ss.30
  • İstanbul Üniversitesi Adresli: Evet

Özet

 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.