Savasci, Medine YesilkayagilBasar, Feyzi2024-08-042024-08-0420240001-69692064-8316https://doi.org/10.1007/s44146-023-00098-3https://hdl.handle.net/11616/101651Hahn (Math Phys 32:3-88, 1922) defined the sequence space h. The main purpose of this study is to introduce the new Hahn sequence space h(C-m) as the domain of Cesaro mean of order m and give some topological properties of the space h(Cm). Moreover, we determine the alpha-, beta-and gamma-duals of the space h(C-m) and characterize the classes (i1 : h), (h : 4), (h(C-m) : V-1) and (V-2 : h(Cm)) of matrix transformations, where 1 < p < infinity, V-1 is an element of {l(infinity), c, c(0), l(p)} and V-2 is any given sequence space. Finally, we compute the norm of the operators belonging to B(e(1), h(C-m)) and determine the Hausdorff measure of noncompactness of the operators in B(i(1), h(C-m)).eninfo:eu-repo/semantics/closedAccessSequence spaceMatrix domainalpha- beta-and gamma-dualsMatrix mappingsArticle901-2537210.1007/s44146-023-00098-32-s2.0-85175623268Q3WOS:001096094100001Q3