Ideal convergence characterization of the completion of linear n-normed spaces

ŞAHİNER A., GÜRDAL M., YİĞİT T.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.61, sa.3, ss.683-689, 2011 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 61 Sayı: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.camwa.2010.12.015
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.683-689
  • Anahtar Kelimeler: Ideal convergence, Ideal Cauchy sequence, Completion, 2-normed space, n-normed space, I-CAUCHY SEQUENCES, STATISTICAL CONVERGENCE, 2-NORMED SPACES, 2-BANACH SPACES
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

In this paper we give the completion of a linear n-normed space in terms of ideal convergence by introducing the concept of a uniformly continuous n-norm. (C) 2010 Elsevier Ltd. All rights reserved.