Topological and geometric properties of some euler sequence spaces

This study which is entitled ?Topological and Geometric Properties of Some Euler Sequence Spaces? contains seven chapters. The first five chapters are composed of a compilation of some studies on this subject. The sixth chapter contains original results which related to some topological and geometric properties of e^r (p) sequence space.In the first chapter, some basic definitions and theorems which are used in the following chapters, are given.In the second chapter, The Euler sequence spaces e_0^r and e_c^r are introduced and some topological properties of these spaces are examined.In the third and fourth chapters, some Euler difference sequence spaces and Euler spaces of difference sequences of order m are introduced and some topological properties of these spaces are examined, respectively.In the fifth chapter, The Euler sequence spaces e_p^r and e_?^r are introduced and some topological and geometric properties of these spaces are examined.In the sixth, we introduce the generalized Euler sequence space e^r (p) and examine some topological and geometric properties of this space.The last chapter gives some general results which are obtained.