Ilkhan, Merve2021-12-012021-12-0120201660-54461660-5454https://doi.org/10.1007/s00009-019-1442-7https://hdl.handle.net/20.500.12684/10160The main purpose of this manuscript is to introduce Banach spaces c(0)(Phi) and c(Phi) as the matrix domain of a regular matrix Phi derived by the Euler totient function. These spaces consist of phi-convergent to zero and phi-convergent sequences, respectively. After determining alpha-, beta- and gamma-duals of these spaces, some matrix classes are characterized. Finally, using the Hausdorff measure of noncompactness, the characterization of some classes of compact operators on the space c(0)(Phi) is given.en10.1007/s00009-019-1442-7info:eu-repo/semantics/closedAccessEuler functionMobius functionsequence spacesmatrix operatorscompact operatorsHausdorff measure of noncompactnessSequence-SpacesConvergenceArticle1712-s2.0-85076463088WOS:000511328700003Q2Q2