On the Lattice Properties of Almost L-Weakly and Almost M-Weakly Compact Operators


Akay B., GÖK Ö.

JOURNAL OF FUNCTION SPACES, vol.2021, 2021 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2021
  • Publication Date: 2021
  • Doi Number: 10.1155/2021/1755373
  • Title of Journal : JOURNAL OF FUNCTION SPACES

Abstract

We establish the domination property and some lattice approximation properties for almost L-weakly and almost M-weakly compact operators. Then, we consider the linear span of positive almost L-weakly (resp., almost M-weakly) compact operators and give results about when they form a Banach lattice and have an order continuous norm.