On compact operators on the Riesz Bm-difference sequence space


Basarir M., Kara E.

Iranian Journal of Science and Technology, Transaction A: Science, vol.35, no.4, pp.279-285, 2011 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 35 Issue: 4
  • Publication Date: 2011
  • Journal Name: Iranian Journal of Science and Technology, Transaction A: Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.279-285
  • Keywords: Bm-difference sequence spaces, Compact operators, Hausdorff measure of noncompactness
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

In this paper, we give the characterization of some classes of compact operators given by matrices on the normed sequence space rpq(Bm), which is a special case of the paranormed Riesz Bm-difference sequence space rq, (p, Bm). For this purpose, we apply the Hausdorff measure of noncompactness and use some results.