Kara, Merve İlkhanRoopaei, Hadi2023-07-262023-07-2620221029-242Xhttps://doi.org/10.1186/s13660-022-02760-whttps://hdl.handle.net/20.500.12684/13584In this research, we firstly introduce a criterion for factorizing an operator based on the gamma operator, and as a result we present two factorizations for the Cesaro and Hilbert operators. As another point of view, we study some properties of the matrix domain associated with the gamma matrix of order n and compute the duals of this space. Moreover, we compute the norm of well-known operators into, from, and on the gamma sequence space.en10.1186/s13660-022-02760-winfo:eu-repo/semantics/openAccessGamma Matrix; Cesaro Matrix; Hilbert Matrix; Hausdorff Matrix; Sequence SpaceEuler Sequence-Spaces; Lower Bounds; Transformations; Include; L(P)Article202212-s2.0-85125676067WOS:000762294500001Q2Q1