Basic Properties of Tempered V-Sequence Spaces

Abstract

In this paper, we will introduce tempered v-sequence spaces generated by directed preserving generator v. After building the spaces, we investigate and show tempered v-sequence spaces are Banach spaces. In addition, we also find that there is an isomorphism between tempered vsequence spaces and the classical one. The direct implication is that some tempered v-sequence spaces have a Schauder basis.