Altay B.Basar F.2024-08-042024-08-0420050041-5995https://doi.org/10.1007/s11253-005-0168-9https://hdl.handle.net/11616/90479In the present paper, we introduce Euler sequence spaces e 0 r and e c r of nonabsolute type that are BK-spaces including the spaces c 0 and c and prove that the spaces e 0 r and e c r are linearly isomorphic to the spaces c 0 and c, respectively. Furthermore, some inclusion theorems are presented. Moreover, the ?-, ?-, ?- and continuous duals of the spaces e 0 r and e c r are computed and their bases are constructed. Finally, necessary and sufficient conditions on an infinite matrix belonging to the classes (e cr : ?p) and (ecr : C) are established, and characterizations of some other classes of infinite matrices are also derived by means of a given basic lemma, where 1 ? p ? ?. © 2005 Springer Science+Business Media, Inc.eninfo:eu-repo/semantics/closedAccess[No Keyword]Article57111710.1007/s11253-005-0168-92-s2.0-23944514497Q3