Araştırma Makalesi
BibTex RIS Kaynak Göster

On some Zweier convergent vector valued multiplier spaces

Yıl 2019, , 541 - 548, 01.08.2019
https://doi.org/10.16984/saufenbilder.492788

Öz



In this
paper, we introduce the Zweier convergent vector valued multiplier spaces
M^\infty_Z(\sum_iT_ix_i)



















and M^\infty_wZ(\sum_iT_ix_i). We examine some topological
properties and some inclusion relations of these spaces.



Kaynakça

  • A. Aizpuru, C. Pérez-Eslava, and J. B. Seoane Sepúlveda, “Matrix summability methods and weakly unconditionally Cauchy series,” The Rocky Mountain Journal of Mathematics, vol. 39, no. 2, pp. 367-380, 2009.
  • F. Albiac and N. J. Kalton, “Topics in Banach Spaces Theory,” New York, Springer-Verlag, 2006.
  • B. Altay and R. Kama, “On Cesàro summability of vector valued multiplier spaces and operator valued series,” Positivity, vol. 22, no. 2, pp. 575-586, 2018.
  • F. Başar, “Summability Theory and Its Applications,” Bentham Science Publishers, İstanbul, 2012.
  • F. Başar and B. Altay, “On the space of sequences of p-bounded variation and related matrix mappings”, (English, Ukrainian summary) Ukrain. Mat. Zh., vol. 55, no. 1, pp. 108-118, 2003; reprinted in Ukrainian Math. J., vol. 55, no. 1, pp. 136-14, 2003.
  • J. Boos and P. Cass, “Classical and Modern Methods in Summability,” Oxford University Press, Oxford, 2000.
  • J. Diestel, “Sequences and Series in Banach Spaces,” New York, Springer-Verlag, 1984.
  • B. Hazarika, T. Karan, and B. K. Singh, “Zweier Ideal convergent sequence space defined by Orlicz function,” Journal of mathematics and computer science, vol. 8, no. 3, pp. 307-318, 2014.
  • V. A. Khan, K. Ebadullah, A. Esi, and M. Shafiq, “On some Zweier I-convergent sequence spaces defined by a modulus function,” Afrika Matematika, vol. 26, no. 1-2, pp. 115-125, 2015.
  • V. A. Khan and N. Khan, “Zweier I-Convergent Double Sequence Spaces Defined by a Sequence of Moduli,” Theory and Applications of Mathematics and Computer Science, vol. 5, no. 2, pp. 194-202, 2015.
  • M. Mursaleen, “Applied Summability Methods, Springer Briefs,” Heidelberg New York Dordrecht London, 2014.
  • F. J. Pérez-Fernández, F. Benítez-Trujillo, and A. Aizpuru, “Characterizations of completeness of normed spaces through weakly unconditionally Cauchy series,” Czechoslovak Math. J., vol. 50, no. 4, pp. 889-896, 2000.
  • C. Swartz, “Multiplier Convergent Series,” Singapore, World Sci. Publ., 2009.
  • C. Swartz, “Operator valued series and vector valued multiplier spaces,” Casp. J. Math. Sci., vol. 3, no. 2, pp. 277-288, 2014.
  • M. Şengönül, “On the Zweier sequence space,” Demonstratio Mathematica, vol. 40, no. 1, pp. 181-196, 2007.
Yıl 2019, , 541 - 548, 01.08.2019
https://doi.org/10.16984/saufenbilder.492788

Öz

Kaynakça

  • A. Aizpuru, C. Pérez-Eslava, and J. B. Seoane Sepúlveda, “Matrix summability methods and weakly unconditionally Cauchy series,” The Rocky Mountain Journal of Mathematics, vol. 39, no. 2, pp. 367-380, 2009.
  • F. Albiac and N. J. Kalton, “Topics in Banach Spaces Theory,” New York, Springer-Verlag, 2006.
  • B. Altay and R. Kama, “On Cesàro summability of vector valued multiplier spaces and operator valued series,” Positivity, vol. 22, no. 2, pp. 575-586, 2018.
  • F. Başar, “Summability Theory and Its Applications,” Bentham Science Publishers, İstanbul, 2012.
  • F. Başar and B. Altay, “On the space of sequences of p-bounded variation and related matrix mappings”, (English, Ukrainian summary) Ukrain. Mat. Zh., vol. 55, no. 1, pp. 108-118, 2003; reprinted in Ukrainian Math. J., vol. 55, no. 1, pp. 136-14, 2003.
  • J. Boos and P. Cass, “Classical and Modern Methods in Summability,” Oxford University Press, Oxford, 2000.
  • J. Diestel, “Sequences and Series in Banach Spaces,” New York, Springer-Verlag, 1984.
  • B. Hazarika, T. Karan, and B. K. Singh, “Zweier Ideal convergent sequence space defined by Orlicz function,” Journal of mathematics and computer science, vol. 8, no. 3, pp. 307-318, 2014.
  • V. A. Khan, K. Ebadullah, A. Esi, and M. Shafiq, “On some Zweier I-convergent sequence spaces defined by a modulus function,” Afrika Matematika, vol. 26, no. 1-2, pp. 115-125, 2015.
  • V. A. Khan and N. Khan, “Zweier I-Convergent Double Sequence Spaces Defined by a Sequence of Moduli,” Theory and Applications of Mathematics and Computer Science, vol. 5, no. 2, pp. 194-202, 2015.
  • M. Mursaleen, “Applied Summability Methods, Springer Briefs,” Heidelberg New York Dordrecht London, 2014.
  • F. J. Pérez-Fernández, F. Benítez-Trujillo, and A. Aizpuru, “Characterizations of completeness of normed spaces through weakly unconditionally Cauchy series,” Czechoslovak Math. J., vol. 50, no. 4, pp. 889-896, 2000.
  • C. Swartz, “Multiplier Convergent Series,” Singapore, World Sci. Publ., 2009.
  • C. Swartz, “Operator valued series and vector valued multiplier spaces,” Casp. J. Math. Sci., vol. 3, no. 2, pp. 277-288, 2014.
  • M. Şengönül, “On the Zweier sequence space,” Demonstratio Mathematica, vol. 40, no. 1, pp. 181-196, 2007.
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Ramazan Kama 0000-0003-3520-1227

Yayımlanma Tarihi 1 Ağustos 2019
Gönderilme Tarihi 6 Aralık 2018
Kabul Tarihi 31 Aralık 2018
Yayımlandığı Sayı Yıl 2019

Kaynak Göster

APA Kama, R. (2019). On some Zweier convergent vector valued multiplier spaces. Sakarya University Journal of Science, 23(4), 541-548. https://doi.org/10.16984/saufenbilder.492788
AMA Kama R. On some Zweier convergent vector valued multiplier spaces. SAUJS. Ağustos 2019;23(4):541-548. doi:10.16984/saufenbilder.492788
Chicago Kama, Ramazan. “On Some Zweier Convergent Vector Valued Multiplier Spaces”. Sakarya University Journal of Science 23, sy. 4 (Ağustos 2019): 541-48. https://doi.org/10.16984/saufenbilder.492788.
EndNote Kama R (01 Ağustos 2019) On some Zweier convergent vector valued multiplier spaces. Sakarya University Journal of Science 23 4 541–548.
IEEE R. Kama, “On some Zweier convergent vector valued multiplier spaces”, SAUJS, c. 23, sy. 4, ss. 541–548, 2019, doi: 10.16984/saufenbilder.492788.
ISNAD Kama, Ramazan. “On Some Zweier Convergent Vector Valued Multiplier Spaces”. Sakarya University Journal of Science 23/4 (Ağustos 2019), 541-548. https://doi.org/10.16984/saufenbilder.492788.
JAMA Kama R. On some Zweier convergent vector valued multiplier spaces. SAUJS. 2019;23:541–548.
MLA Kama, Ramazan. “On Some Zweier Convergent Vector Valued Multiplier Spaces”. Sakarya University Journal of Science, c. 23, sy. 4, 2019, ss. 541-8, doi:10.16984/saufenbilder.492788.
Vancouver Kama R. On some Zweier convergent vector valued multiplier spaces. SAUJS. 2019;23(4):541-8.

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