Altay, BBasar, F2024-08-042024-08-0420050022-247X1096-0813https://doi.org/10.1016/j.jmaa.2004.12.020https://hdl.handle.net/11616/94004In this study, we define the double sequence spaces BS, BS(t), CSp, CSbp, CSr and BV, and also examine some properties of those sequence spaces. Furthermore, we show that these sequence spaces are complete paranormed or normed spaces under some certain conditions. We determine the a-duals of the spaces BS, BV, CSbp and the alpha-duals of the spaces CSbp, and CSr of double series. Finally, we give the conditions which characterize the class of four-dimensional matrix mappings defined on the spaces CSbp, CSr and CSp of double series. (c) 2004 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/closedAccessdouble sequence spaceparanormed sequence spacealpha-, beta-duals and matrix mappingsArticle3091709010.1016/j.jmaa.2004.12.0202-s2.0-22144492629Q1WOS:000230974200007Q2