Aydin C.Başar F.2024-08-042024-08-0420050420-1213https://hdl.handle.net/11616/90662In the present paper, we introduce the sequence space ar p of non-absolute type and prove that the spaces ar p and lp are linearly isomorphic for 0 < p ? ?. We also show that ar p, which includes the space lp, is a p-normed space and a BK space in the cases of 0 < p < 1 and 1 ? p ? ?, respectively. Furthermore, we give some inclusion relations and determine the ?-, ?- and ?-duals of the space ar p and construct its basis. We devote the last section of the paper to the characterization of the matrix mappings from the space ar p to some of the known sequence spaces and to some new sequence spaces. © 2005 Warsaw University. All rights reserved.eninfo:eu-repo/semantics/closedAccessMatrix mappingsSchauder basisSequence spaces of non-absolute typeThe ?-?- and ?-dualsArticle3836416562-s2.0-33646080290Q2