On the stability of iterated integral operators in locally convex spaces with applications to weak convergence
Author(s): Hayjaa Khudhair Dakhil
Abstract: This paper introduces a new class of iterated integral operators defined on locally convex topological vector spaces and explores their stability under weak convergence. We establish a novel stability theorem concerning the roundedness and compactness of these operators, followed by an original characterization theorem. The results extend classical integral operator theory in normed spaces and open new directions in weak convergence analysis. The study is purely theoretical with illustrative examples and potential applications to approximation theory.
Hayjaa Khudhair Dakhil. On the stability of iterated integral operators in locally convex spaces with applications to weak convergence. Int J Stat Appl Math 2025;10(7):161-162. DOI: 10.22271/maths.2025.v10.i7b.2110
