MATRIX TRANSFORMATIONS AND COMPACT OPERATORS ON THE BINOMIAL SEQUENCE SPACES

Bisgin M. C.

KOREAN JOURNAL OF MATHEMATICS, cilt.27, sa.4, ss.949-968, 2019 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.11568/kjm.2019.27.4.949
  • Dergi Adı: KOREAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.949-968
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

In this work, we characterize some matrix classes concerning the Binomial sequence spaces b(infinity)(r,s) and b(p)(r;s), where 1 <= p < infinity. Moreover, by using the notion of Hausdorff measure of noncompactness, we characterize the class of compact matrix operators from b(0)(r,s) , b(c)(r,s) and b(infinity)(r,s) into c(0), c and l(infinity), respectively.