On The Equivalence of Convergence and 2-Norm Convergence in Normed Spaces

TURAN B., Bilici F.

GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.29, sa.4, ss.879-881, 2016 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 4
  • Basım Tarihi: 2016
  • Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.879-881
  • Gazi Üniversitesi Adresli: Evet

Özet

Let (X, parallel to.parallel to) be a normed space and parallel to., ... , .parallel to(G)be the n-norm given by Gahler. In this paper, we show that parallel to.parallel to-convergence and parallel to., ... , .parallel to(G) 2-convergence are equivalent.