Toplanabilme metotlari yardimiyla tanimlanan operatörlerin ergodikliği

This thesis consists of three chapters. In the first chapter, some fundamentaldefinitions and theorems corcernned with linear functional, Banach limits and almostconvergence are given.In the second chapter, the concepts measure, measure space and measurablefunctions are given. Futhermore, the matrix transformations and some result onmatrix transformations in sequence spaces are also presented.In the third chapter, the ergodicity of a measure preserving transformations isintroduced, an ergodic application of almost convergent sequences and a sublinearfunctional involving infinite matrices are given.