Ilkhan, Merve2021-12-012021-12-0120200308-10871563-5139https://doi.org/10.1080/03081087.2019.1635071https://hdl.handle.net/20.500.12684/10081The main purpose of this paper is to define a new conservative matrix by means of the fascinating sequence of Catalan numbers and study the matrix domain of this newly introduced matrix in the classical sequence spaces c and . Additionally, after determining the Kothe-Toeplitz dual, generalized Kothe-Toeplitz dual and Garling dual, certain matrix transformations and compact operators are characterized on the new Banach spaces.en10.1080/03081087.2019.1635071info:eu-repo/semantics/closedAccessCatalan numberssequence spacesmatrix transformationscompact operatorsDifference Sequence-SpacesCesaroArticle6824174342-s2.0-85068035824WOS:000473303600001Q2Q2