Investigation of the properties of families of operators defined on topological vector lattices

Recently, research on various classes of operators based on norm convergence and order convergence in Banach lattices has made significant progress. Similarly, the topological properties and vector lattice structures of operators defined on locally solid vector lattices have also been studied in detail and various properties have been investigated. Recently, many researchers have explored the demi versions of different operators and introduced different perspectives on these operators. In this thesis, the classes of operators defined on locally solid vector lattices and Banach lattices are studied in detail, and the demi versions of various operators are examined and their relations are studied.