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ON THE EQUIVALENCE OF CONVERGENCE AND 2-NORM CONVERGENCE IN NORMED SPACES

Yıl 2016, Cilt: 29 Sayı: 4, 879 - 881, 19.12.2016

Öz

Let (X,∥.∥) be a normed space and ∥.,...,.∥_{G} be the n-norm given by Gähler. In this paper, we show that ∥.∥-convergence and ∥.,.∥_{G}2-convergence are equivalent.

Kaynakça

  • Gähler, S., Lineare 2-normierte räume, Math. Nachr. 28, 1-43, (1964).
  • Gähler, S., Untersuchungen ¨uber verallgemeinerte m-metrische R¨aume. I, Math. Nachr., 40, 165--189, (1969).
  • Gunawan, H., The space of p-summable sequences and its natural n-norms, Bull. Austral. Math. Soc. 64, 137--147, (2001).
  • Gunawan, H. and Mashadi, M., On n-normed spaces, Int. J. Math. Math. Sci. 27, 631--639, (2001).
  • Raymond, W. and Freese, Yeol Je Cho, Geometry of linear 2-normed spaces, Nova Science publishers, Inc, Newyork, (2001).
  • Turan, B. and Bilici, F., On almost 2-normed vector lattice, Preprint.
  • White, A., 2-Banach Spaces, Doctoral Dissertation, Saint Louis University, (1968).
Yıl 2016, Cilt: 29 Sayı: 4, 879 - 881, 19.12.2016

Öz

Kaynakça

  • Gähler, S., Lineare 2-normierte räume, Math. Nachr. 28, 1-43, (1964).
  • Gähler, S., Untersuchungen ¨uber verallgemeinerte m-metrische R¨aume. I, Math. Nachr., 40, 165--189, (1969).
  • Gunawan, H., The space of p-summable sequences and its natural n-norms, Bull. Austral. Math. Soc. 64, 137--147, (2001).
  • Gunawan, H. and Mashadi, M., On n-normed spaces, Int. J. Math. Math. Sci. 27, 631--639, (2001).
  • Raymond, W. and Freese, Yeol Je Cho, Geometry of linear 2-normed spaces, Nova Science publishers, Inc, Newyork, (2001).
  • Turan, B. and Bilici, F., On almost 2-normed vector lattice, Preprint.
  • White, A., 2-Banach Spaces, Doctoral Dissertation, Saint Louis University, (1968).
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Bölüm Mathematics
Yazarlar

Bahri Turan

Fatma Bilici Bu kişi benim

Yayımlanma Tarihi 19 Aralık 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 29 Sayı: 4

Kaynak Göster

APA Turan, B., & Bilici, F. (2016). ON THE EQUIVALENCE OF CONVERGENCE AND 2-NORM CONVERGENCE IN NORMED SPACES. Gazi University Journal of Science, 29(4), 879-881.
AMA Turan B, Bilici F. ON THE EQUIVALENCE OF CONVERGENCE AND 2-NORM CONVERGENCE IN NORMED SPACES. Gazi University Journal of Science. Aralık 2016;29(4):879-881.
Chicago Turan, Bahri, ve Fatma Bilici. “ON THE EQUIVALENCE OF CONVERGENCE AND 2-NORM CONVERGENCE IN NORMED SPACES”. Gazi University Journal of Science 29, sy. 4 (Aralık 2016): 879-81.
EndNote Turan B, Bilici F (01 Aralık 2016) ON THE EQUIVALENCE OF CONVERGENCE AND 2-NORM CONVERGENCE IN NORMED SPACES. Gazi University Journal of Science 29 4 879–881.
IEEE B. Turan ve F. Bilici, “ON THE EQUIVALENCE OF CONVERGENCE AND 2-NORM CONVERGENCE IN NORMED SPACES”, Gazi University Journal of Science, c. 29, sy. 4, ss. 879–881, 2016.
ISNAD Turan, Bahri - Bilici, Fatma. “ON THE EQUIVALENCE OF CONVERGENCE AND 2-NORM CONVERGENCE IN NORMED SPACES”. Gazi University Journal of Science 29/4 (Aralık 2016), 879-881.
JAMA Turan B, Bilici F. ON THE EQUIVALENCE OF CONVERGENCE AND 2-NORM CONVERGENCE IN NORMED SPACES. Gazi University Journal of Science. 2016;29:879–881.
MLA Turan, Bahri ve Fatma Bilici. “ON THE EQUIVALENCE OF CONVERGENCE AND 2-NORM CONVERGENCE IN NORMED SPACES”. Gazi University Journal of Science, c. 29, sy. 4, 2016, ss. 879-81.
Vancouver Turan B, Bilici F. ON THE EQUIVALENCE OF CONVERGENCE AND 2-NORM CONVERGENCE IN NORMED SPACES. Gazi University Journal of Science. 2016;29(4):879-81.