Approximately order bounded sets in unbounded norm topology

Akay B.

7th International Conference of Mathematical Sciences (ICMS 2023), İstanbul, Turkey, 5 - 09 July 2023, pp.25

  • Publication Type: Conference Paper / Summary Text
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.25
  • Istanbul University Affiliated: Yes

Abstract

In recent years, unbounded norm convergence (un-convergence) and its related topology have been widely studied. We introduce an unbounded norm version of approximately order bounded (also known as almost order bounded) sets in Banach lattices. We study some properties of these sets and their relationship with some other structures.