Paranormed spaces of absolute tribonacci summable series and some matrix transformations

In a more recent paper, the absolute series space I T_\Phi I_q which is defined as the domain of the matrix corresponding to the absolute Tribonacci summability in the well-known space l_q has taken place in the literature (Gökçe, in press). The present study is mainly aimed to establish the absolute series space I T_\Phi I(\delta) which includes I T_\Phi I_q as the set of all series summable by the absolute Tribonacci method in l(\delta), and to investigate its some topological and algebraic properties. Moreover, certain characterizations of matrix operators on this space is obtained.