On Cesaro summability of vector valued multiplier spaces and operator valued series

ALTAY B., KAMA R.

POSITIVITY, cilt.22, sa.2, ss.575-586, 2018 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s11117-017-0528-3
  • Dergi Adı: POSITIVITY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.575-586
  • Anahtar Kelimeler: Multiplier convergent series, Cesaro sequence spaces, Summing operator, Compact operators, Orlicz-Pettis theorem
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper, we introduce and study vector valued multiplier spaces with the help of the sequence of continuous linear operators between normed spaces and CesA ro convergence. Also, we obtain a new version of the Orlicz-Pettis Theorem by means of CesA ro summability.