On compact operators on the Riesz Bm-difference sequence spaces-II


Basarir M., Kara E.

Iranian Journal of Science and Technology, Transaction A: Science, vol.36, no.3 SPL.ISS, pp.371-376, 2012 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 36 Issue: 3 SPL.ISS
  • Publication Date: 2012
  • Journal Name: Iranian Journal of Science and Technology, Transaction A: Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.371-376
  • Keywords: Compact operators, Hausdorff measure of noncompactness
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

The compact operators on the Riesz sequence space rpq (Bm) (1 ≤ p < ∞) have been studied by Başari{dotless}r and Kara, "IJST (2011) A4, 279-285". In the present paper, we will characterize some classes of compact operators on the normed Riesz sequence spaces r0q(Bm) and r∞q(Bm) by using the Hausdorff measure of noncompactness.