A new almost convergent sequence space defined by Schröder matrix

Dağlı M. C.

Linear and Multilinear Algebra, cilt.71, sa.11, ss.1863-1874, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 71 Sayı: 11
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1080/03081087.2022.2084499
  • Dergi Adı: Linear and Multilinear Algebra
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.1863-1874
  • Anahtar Kelimeler: almost convergence, core theorems, Schröder numbers, sequence spaces
  • Akdeniz Üniversitesi Adresli: Evet

Özet

This paper deals with a new almost convergent sequence space constructed by Schröder matrix. It is shown that this new sequence space is linearly isomorphic to the space of all almost convergent sequences. Also, the β-dual of the resulting space is expressed and Schröder core of a complex-valued sequence is introduced. Moreover, some inclusion theorems are obtained for this new type of core.