Topological and geometrical properties of some difference sequence spaces defined by lucas numbers

In the first part of this work, the concepts of our topic are explained basically. In the second part, researches in literature related to these concepts are mentioned and some of these studies are attributed. In the third chapter, some geometrical properties of Banach spaces are mentioned by giving basic definitions, theorems and inequalities that we will use in the sequel of work. In the fourth section where our basic results are included, new difference sequence spaces are established by means of infinite triangular matrices and modulus function and also the topological and geometrical structure of these spaces are investigated. In the last part, by considering the findings, it is stated what can be done in addition to all these.