On w∗-Dunford–Pettis operators

Alpay Ş., Gorokhova S.

Advances in Operator Theory, vol.10, no.3, 2025 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 3
  • Publication Date: 2025
  • Doi Number: 10.1007/s43036-025-00454-w
  • Journal Name: Advances in Operator Theory
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Keywords: Banach lattice, Dunford–Pettis operator, KB-space, Positive Schur property
  • Middle East Technical University Affiliated: Yes

Abstract

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.