  Many studies have been conducted on statistical convergence, and it remains
an area of active research. Since its introduction, statistical convergence has
found applications many fields. Nevertheless, there is a shortage of research
related to operator theory. As far as we know, no studies have focused on
continuous, bounded, and compact operators, which are fundamental concepts in
mathematics. We explore the notions of statistical boundedness, continuity, and
compactness of operators between normed spaces, establishing connections
between these concepts and their counterparts in traditional normed space
theory. Additionally, we provide examples and results that demonstrate the
behavior and implications of statistical convergence in the context of
operators.
