ON SOME DISTINGUISHED SUBSPACES AND RELATIONSHIP BETWEEN DUALS

Cilt: 1 Sayı: 1 1 Ocak 2018
Mahmut Karakuş
PDF İndir
EN

ON SOME DISTINGUISHED SUBSPACES AND RELATIONSHIP BETWEEN DUALS

Öz

In this paper, we observe some new spaces to obtain new β- and γtype duality of a sequence space λ, related to the some sequence spaces. Beforethis we give some new distinguished subspaces of an F K space obtained by anoperator of Ayd n and Ba³ar [2], which is stronger than common C- Cesàro operator. We also give some structural theorems and inclusions for these distinguishedsubspaces. Finally we prove some theorems related to the f-, ar- and ar- duality ofa sequence space λ like Goes [14] and Buntinas [8]. These theorems are importantsb to decade the duality of a sequence space in summability theory and topologicalsequence spaces theory

Anahtar Kelimeler

F K spaces,Matrix methods,β-,γ-,f- duality

Kaynakça

  1. B. Altay and F. Ba³ar, Certain topological properties and duals of the matrix domain of a triangle matrix in a sequence space, J. Math. Anal. Appl. 336(1)(2007), 632 645.
  2. C. Ayd n and F. Ba³ar, On the new sequence spaces which include the spaces c0and c, Hokkaido Math. J. 33(1)(2004), 1 16.
  3. F. Ba³ar, A note on the triangle limitation methods, F rat Üniv. Fen Müh. Bil. Dergisi, 5 (1) (1993), 113-117.
  4. F. Ba³ar, Summability Theory and Its Applications, Bentham Science Publishers, Istanbul, 2012.
  5. J. Boos, Classical and Modern Methods in Summability, Oxford University Press. New York, Oxford, 2000.
  6. M. Buntinas, Convergent and bounded Cesàro sections in FK-spaces, Math. Zeitschr., 121 (1971), 191-200.
  7. M. Buntinas, On sectionally dense summability elds, Math. Zeitschr., 132 (1973), 141-149.
  8. M. Buntinas, On Toeplitz sections in sequence spaces, Math. Proc. Camb. Phil. Soc., 78 (1975), 451-460. [9] . Da gadur, On Some subspaces of an FK space, Mathematical Communications, 7 (2002), 15-20.
  9. R. Devos, Combinations of distinguished subsets and conullity, Math. Zeitschr., 192 (1986), 447-451. [11] D. J. H. Garling, The β- and γ-duality of sequence spaces, Proc. Camb. Phil. Soc., 63 (Jan. 1967), 963-981.
  10. D. J. H. Garling, On topological sequence spaces, Proc. Camb. Phil. Soc., 63 (1967), 997-1019. [13] G. Goes and S. Goes, Sequences of bounded variation and sequences of fourier coe cients. I, Math. Zeitschr.,118(1970), 93-102.

Kaynak Göster

APA
Karakuş, M. (2018). ON SOME DISTINGUISHED SUBSPACES AND RELATIONSHIP BETWEEN DUALS. Journal of Advanced Mathematics and Mathematics Education, 1(1), 1-10. https://izlik.org/JA37SR88CG
AMA
1.Karakuş M. ON SOME DISTINGUISHED SUBSPACES AND RELATIONSHIP BETWEEN DUALS. Journal of Advanced Mathematics and Mathematics Education. 2018;1(1):1-10. https://izlik.org/JA37SR88CG
Chicago
Karakuş, Mahmut. 2018. “ON SOME DISTINGUISHED SUBSPACES AND RELATIONSHIP BETWEEN DUALS”. Journal of Advanced Mathematics and Mathematics Education 1 (1): 1-10. https://izlik.org/JA37SR88CG.
EndNote
Karakuş M (01 Ocak 2018) ON SOME DISTINGUISHED SUBSPACES AND RELATIONSHIP BETWEEN DUALS. Journal of Advanced Mathematics and Mathematics Education 1 1 1–10.
IEEE
[1]M. Karakuş, “ON SOME DISTINGUISHED SUBSPACES AND RELATIONSHIP BETWEEN DUALS”, Journal of Advanced Mathematics and Mathematics Education, c. 1, sy 1, ss. 1–10, Oca. 2018, [çevrimiçi]. Erişim adresi: https://izlik.org/JA37SR88CG
ISNAD
Karakuş, Mahmut. “ON SOME DISTINGUISHED SUBSPACES AND RELATIONSHIP BETWEEN DUALS”. Journal of Advanced Mathematics and Mathematics Education 1/1 (01 Ocak 2018): 1-10. https://izlik.org/JA37SR88CG.
JAMA
1.Karakuş M. ON SOME DISTINGUISHED SUBSPACES AND RELATIONSHIP BETWEEN DUALS. Journal of Advanced Mathematics and Mathematics Education. 2018;1:1–10.
MLA
Karakuş, Mahmut. “ON SOME DISTINGUISHED SUBSPACES AND RELATIONSHIP BETWEEN DUALS”. Journal of Advanced Mathematics and Mathematics Education, c. 1, sy 1, Ocak 2018, ss. 1-10, https://izlik.org/JA37SR88CG.
Vancouver
1.Mahmut Karakuş. ON SOME DISTINGUISHED SUBSPACES AND RELATIONSHIP BETWEEN DUALS. Journal of Advanced Mathematics and Mathematics Education [Internet]. 01 Ocak 2018;1(1):1-10. Erişim adresi: https://izlik.org/JA37SR88CG