Abstract. In this work, we discuss various kinds of ℐ₂-uniform convergence for double sequences of functions and introduce the concepts of ℐ₂ and ℐ 2 ∗ -uniform convergence, ℐ₂-uniformly Cauchy ...

Banach spaces and integrability theory are fundamental areas in functional analysis, focusing on the properties of functions and their integrals within certain mathematical structures. Banach spaces ...