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

ŞAHİNER A., GÜRDAL M., YİĞİT T.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol.61, no.3, pp.683-689, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 61 Issue: 3
  • Publication Date: 2011
  • Doi Number: 10.1016/j.camwa.2010.12.015
  • Journal Name: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.683-689
  • Keywords: 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 University Affiliated: Yes

Abstract

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.