On matrix transformations and Hausdorff measure of noncompactness of Euler difference sequence spaces of fractional order

Baliarsingh P., Kadak U.

QUAESTIONES MATHEMATICAE, cilt.43, sa.11, ss.1645-1661, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 11
  • Basım Tarihi: 2020
  • Doi Numarası: 10.2989/16073606.2019.1648325
  • Dergi Adı: QUAESTIONES MATHEMATICAE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1645-1661
  • Anahtar Kelimeler: Difference operators Delta((-)) Delta((-)), Euler mean operator E-r, BK spaces, bounded and compact linear operators, Hausdorff measure of noncompactness
  • Gazi Üniversitesi Adresli: Evet

Özet

In the present paper, some results on matrix mappings and Hausdorff measure of noncompactness of certain generalized Euler difference sequence spaces of fractional order are discussed. Also, the Hausdorff measures of noncompactness of certain matrix operators that map an arbitrary BK-space into the classical sequence spaces are established. Furthermore, by using this measure, the characterization of some classes of Euler mean compact operators are determined in the BK-spaces.