On paranormed lambda-sequence spaces of non-absolute type

KARAKAYA V., Noman A., Polat H.

MATHEMATICAL AND COMPUTER MODELLING, cilt.54, ss.1473-1480, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.mcm.2011.04.019
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1473-1480
  • Anahtar Kelimeler: Paranormed sequence space, alpha-, beta-, and gamma-duals, Weighted mean, lambda-sequence spaces, Matrix mapping, MATRIX TRANSFORMATIONS, EULER
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this work, we introduce some new generalized sequence spaces related to the spaces l(infinity)(p), c(p) and c(0)(p). Furthermore, we investigate some topological properties such as the completeness and the isomorphism, and we also give some inclusion relations among these sequence spaces. In addition, we compute the alpha-, beta- and gamma- duals of these spaces, and characterize certain matrix transformations on these sequence spaces. (C) 2011 Elsevier Ltd. All rights reserved.