Tribonacci-lucas sequence spaces

This thesis consists of five chapters. In the introduction, a brief information about the historical development of the subject is given. In the material and method section, some definitions and theorems that form the basis of our work are explained. In the third chapter in which we present our findings, the Tribonacci-Lucas sequence spaces are firstly introduced. After then, by examining some topological properties of this space, we give some inclusion relations. Also, we obtain the Köthe-Toeplitz duals of our spaces and so characterize some matrix classes. Finally, we show that our space is uniformly convex, strictly convex and super-reflexive. In the fourth part, we carry out a general evaluation and consequently, suggestions have been made about the contribution of our results to the literatüre and whether more studies can be considered by using these results in the theory of summability.