On w∗-Dunford–Pettis operators

Alpay Ş., Gorokhova S.

Advances in Operator Theory, cilt.10, sa.3, 2025 (ESCI, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 3
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1007/s43036-025-00454-w
  • Dergi Adı: Advances in Operator Theory
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Anahtar Kelimeler: Banach lattice, Dunford–Pettis operator, KB-space, Positive Schur property
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

A subclass of weak Dunford–Pettis operators named w∗DP operators is under investigation. The article studies conditions under which w∗DP-operators have properties such as (weak) compactness and limitedness, and the relationship of w∗DP operators with Dunford–Pettis operators. Several further topics related to these operators are investigated.