Araştırma Makalesi
BibTex RIS Kaynak Göster

On almost 2-normed vector lattices

Yıl 2018, Cilt: 47 Sayı: 5, 1094 - 1101, 16.10.2018

Öz

In this paper, we discuss the transformation of a normed vector lattice definition into a 2-normed vector lattice definition and examine the definition of $n$-Banach lattice given by Sağır and Güngör in [A note on $n$-Banach lattices, J. Appl. Funct. Anal., 2015]. We also give definitions of an almost 2-normed vector lattice and an almost 2-Banach lattice. Then, some theoretical examples and results are given.

Kaynakça

  • Aliprantis, C.D. and Burkinshaw, O. Positive operators, Academic Press, Orlando, 1985.
  • Gähler, S. Lineare 2-normierte räume, Math. Nachr. 28, 1-43, 1964.
  • 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.
  • Idris, M., Ekariani, S. and Gunawan, H. On the space of p-summable sequences, Mat. Vesnik. 65, 58-63, 2013.
  • Luxemburg, W. A. J. and Zaanen, A. C. Riesz spaces I, North-Holland, Amsterdam, 1971.
  • Sağır, B. and Güngör, N. A note on n-Banach lattices, J. Appl. Funct. Anal. 10, 70-77, 2015.
  • Schaefer, H.H. Banach lattices and positive operators, Springer, Grundlehren 215, Berlin, 1974.
  • Zaanen, A. C. Riesz spaces II, North-Holland, Amsterdam, 1983.
Yıl 2018, Cilt: 47 Sayı: 5, 1094 - 1101, 16.10.2018

Öz

Kaynakça

  • Aliprantis, C.D. and Burkinshaw, O. Positive operators, Academic Press, Orlando, 1985.
  • Gähler, S. Lineare 2-normierte räume, Math. Nachr. 28, 1-43, 1964.
  • 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.
  • Idris, M., Ekariani, S. and Gunawan, H. On the space of p-summable sequences, Mat. Vesnik. 65, 58-63, 2013.
  • Luxemburg, W. A. J. and Zaanen, A. C. Riesz spaces I, North-Holland, Amsterdam, 1971.
  • Sağır, B. and Güngör, N. A note on n-Banach lattices, J. Appl. Funct. Anal. 10, 70-77, 2015.
  • Schaefer, H.H. Banach lattices and positive operators, Springer, Grundlehren 215, Berlin, 1974.
  • Zaanen, A. C. Riesz spaces II, North-Holland, Amsterdam, 1983.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Matematik
Yazarlar

Bahri Turan

Fatma Bilici Bu kişi benim

Yayımlanma Tarihi 16 Ekim 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 47 Sayı: 5

Kaynak Göster

APA Turan, B., & Bilici, F. (2018). On almost 2-normed vector lattices. Hacettepe Journal of Mathematics and Statistics, 47(5), 1094-1101.
AMA Turan B, Bilici F. On almost 2-normed vector lattices. Hacettepe Journal of Mathematics and Statistics. Ekim 2018;47(5):1094-1101.
Chicago Turan, Bahri, ve Fatma Bilici. “On Almost 2-Normed Vector Lattices”. Hacettepe Journal of Mathematics and Statistics 47, sy. 5 (Ekim 2018): 1094-1101.
EndNote Turan B, Bilici F (01 Ekim 2018) On almost 2-normed vector lattices. Hacettepe Journal of Mathematics and Statistics 47 5 1094–1101.
IEEE B. Turan ve F. Bilici, “On almost 2-normed vector lattices”, Hacettepe Journal of Mathematics and Statistics, c. 47, sy. 5, ss. 1094–1101, 2018.
ISNAD Turan, Bahri - Bilici, Fatma. “On Almost 2-Normed Vector Lattices”. Hacettepe Journal of Mathematics and Statistics 47/5 (Ekim 2018), 1094-1101.
JAMA Turan B, Bilici F. On almost 2-normed vector lattices. Hacettepe Journal of Mathematics and Statistics. 2018;47:1094–1101.
MLA Turan, Bahri ve Fatma Bilici. “On Almost 2-Normed Vector Lattices”. Hacettepe Journal of Mathematics and Statistics, c. 47, sy. 5, 2018, ss. 1094-01.
Vancouver Turan B, Bilici F. On almost 2-normed vector lattices. Hacettepe Journal of Mathematics and Statistics. 2018;47(5):1094-101.