Aydin C.Basar F.2024-08-042024-08-0420040385-4035https://doi.org/10.14492/hokmj/1285766172https://hdl.handle.net/11616/90640In the present paper, the sequence spaces ar0 and arc of non-absolute type which are the BK-spaces including the spaces c0 and c have been introduced and proved that the spaces ar0 and arc are linearly isomorphic to the spaces c0 and c, respectively. Additionally, the ?-, (?- and ?-duals of the spaces ar0 and arc have been computed and their basis have been constructed. Finally, the necessary and sufficient conditions on an infinite matrix belonging to the classes (arc: lp) and (arc: c) have beendetermined and the characterizations of some other classes have also been derived by means of a given basic lemma, where 1 ? p ? ?. © 2004 by the University of Notre Dame. All rights reserved.eninfo:eu-repo/semantics/openAccessDuals and basis of a sequence spaceMatrix transformationsSequence spaces of non-absolute typeArticle33238339810.14492/hokmj/12857661722-s2.0-33644687183Q3