ON THE BANACH CORES AND STATISTICAL CONVERGENCE

This thesis has three chapters related to Banach cores and statistical convergence. In the first chapter, some preliminary definitions, concepts, and theorems are given, which will also be needed in other chapters. After defining matrix transformations using infinite matrices, definitions of regularity, conservative, almost convergence, and Banach limits are mentioned. In addition, some theorems and results about Banach limits are given. In the second chapter, the concept of the core is briefly explained. In the third chapter, the idea of statistical convergence, theorems related to this convergence, and matrix classifications are given.