In this study, we define new Banach sequence spaces \(\ell _{p}(\mathscr {J})\) , \(\ell _{\infty }(\mathscr {J})\) , \(c_0(\mathscr {J})\) and \(c(\mathscr {J})\) using a new regular infinite matrix \(\mathscr {J}= (\mathfrak {j}_{cd})\) which is given by \(\begin{aligned} \mathfrak {j}_{cd} = {\left\{ \begin{array}{ll} \dfrac{2\textrm{j}_d}{\textrm{j}_{c+2} - 1} & 1 \le d \le c;~\forall c,d = 1,2,3,\cdots \\ \\ 0 & \text {otherwise}, \end{array}\right. } \end{aligned}\) where \(\textrm{j}= (\textrm{j}_d)\) is Jacobsthal number sequence. We also introduce various topological, inclusion relations, \(\alpha \) -, \(\beta \) -, \(\gamma \) - duals, matrix mappings and Schauder bases of newly generated sequence spaces. Lastly, compactness of matrix operators on related sequence spaces have been provided using the concept of measure of noncompactness.
