Compactness of matrix operators on some new difference sequence spaces

Survey on the domain of the matrix lambda in the normed and paranormed sequence spaces

“…for all k; n 2 N. Then, Mursaleen and Noman [36,37,42] de…ne the di¤erence sequence spaces c 0 ( ), c ( ) and` 1 ( ) as the matrix domain of the triangle matrix in the spaces c 0 , c and`1, respectively. They prove some estimates for the operator norms and the Hausdor¤ measure of noncompactness of certain matrix operators on the spaces c 0 ( ) and` 1 ( ).…”

Multiplication Operators on Cesàro-Orlicz Sequence Spaces

“…For more details on multiplication operators we refer to ( [2], [18], [19], [20], [22], [24]) and refrences therein. Moreover, Compact operators on sequence spaces have recently been studied by Mursaleen and Noman in ( [15], [16]). By B(Ces ϕ (N)) we denote the set of all bounded linear operators from Ces ϕ (N) into itself.…”

Compactness of matrix operators on some sequence spaces derived by Fibonacci numbers

“…Recently, several authors have studied compact operators on the sequence spaces and given very important results related to the Hausdorff measure of noncompactness of a linear operator. For example [6][7][8][9][10]16,21,26,[29][30][31][32][33][34].…”