On the domain of q-Euler matrix in c and c0 with its point spectra

We introduce new Banach spaces e?,? 0 (q) and c defined as the domain of generalized q-Euler matrix E?,?(q) in c0 c, respectively. Some topological properties inclusion relations related to newly are exhibited. determine bases obtain K?the duals (q). characterize certain mappings from space S ? {??, c0, ?1, bs, cs, cs0}. compute necessary sufficient conditions for a operator be compact cs0} using Hausdorff measure non-compactness. Finally, we give point spectrum c.