Abstract
Recently, the sequence spaces l(infinity)(lambda), c(lambda), c(0)(lambda), and l(p)(lambda)- have been defined and studied by Mursaleen and Noman (cf. Mursaleen and Noman, 2011 [5,61). In this paper, we obtain estimates for the norms of the bounded linear operators L-A defined by the matrix classes (l(p)(lambda), Y) (1 <= P < infinity), where Y = c(0), c, l(infinity) and l(1). We also find conditions to obtain the corresponding subclasses of compact matrix operators by using the Hausdorff measure of noncompactness. (C) 2013 Elsevier Ltd. All rights reserved.