Duality and norm completeness in the classes of limitedly Lwc and Dunford–Pettis Lwc operators

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ALPAY Ã. Å., EMELYANOV E., GOROKHOVA S.

Turkish Journal of Mathematics, vol.48, no.2, pp.267-278, 2024 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 48 Issue: 2
  • Publication Date: 2024
  • Doi Number: 10.55730/1300-0098.3505
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.267-278
  • Keywords: Banach lattice, Dunford–Pettis set, L-weakly compact set, limited set
  • Middle East Technical University Affiliated: Yes

Abstract

We study the duality and norm completeness in the new classes of limitedly L-weakly compact and Dunford–Pettis L-weakly compact operators from Banach spaces to Banach lattices.