Hausdorff measure of noncompactness of matrix operators on some sequence spaces of a double sequential band matrix

Academic Article

Abstract

  • © 2015, Abyar and Ghaemi. The sequence spaces (Formula presented.), (Formula presented.), and (Formula presented.) of non-absolute type derived by the double sequential band matrix (Formula presented.) have recently been defined. In this work, we establish identities or estimates for the operator norms and the Hausdorff measure of noncompactness of certain matrix operators on these spaces that are paranormed spaces. Further, we find the necessary and sufficient condition for compactness of (Formula presented.) in the class (Formula presented.) (where X is any of the spaces (Formula presented.) or (Formula presented.) and characterize some classes of compact operators on these spaces by using the Hausdorff measure of the noncompactness technique.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Abyar E; Ghaemi MB
  • Start Page

  • 1
  • End Page

  • 19
  • Volume

  • 2015
  • Issue

  • 1