On compact operators on the Riesz Bm-difference sequence space

Basarir M., Kara E.

Iranian Journal of Science and Technology, Transaction A: Science, cilt.35, sa.4, ss.279-285, 2011 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 4
  • Basım Tarihi: 2011
  • Dergi Adı: Iranian Journal of Science and Technology, Transaction A: Science
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.279-285
  • Anahtar Kelimeler: Bm-difference sequence spaces, Compact operators, Hausdorff measure of noncompactness
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

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.