EN
DIFFERENCE MATRIX AND SOME MULTIPLIER SEQUENCE SPACES
Abstract
In this paper we show that completeness and barrelledness of a normed space can be characterized by means of sequence spaces obtained by a sequence in a normed space and difference matrix method. Other related results are established.
Keywords
References
- [1] Aizpuru, A. and Perez-Fernandez, F. J., Characterizations of series in Banach spaces, Acta Math. Univ. Comenian., 58 (1999), No. 2, 337–344.
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- [3] F.Albiac, N. J.Kalton, Topics in Banach Spaces Theory, Springer-Verlag, New York (2006).
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- [5] F. Basar, B. Altay, On the space of sequences of p-bounded variation and related matrix mappings, (English, Ukrainian summary) Ukrain. Mat. Zh., 55(1) (2003), 108–118; reprinted in Ukrainian Math. J., 55(1) (2003), 136–147.
- [6] C.A. Bektas, R. Colak, On some generalized difference sequence spaces, Thai J. Math., 3(1) (2005), 83–98.
- [7] C. Bessaga, A. Pelczynski, On bases and unconditional convergence of series in Banach spaces, Stud. Math., 17 (1958), 151–164.
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Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
October 15, 2017
Submission Date
May 4, 2017
Acceptance Date
May 17, 2017
Published in Issue
Year 2017 Volume: 5 Number: 2
APA
Kama, R., & Altay, B. (2017). DIFFERENCE MATRIX AND SOME MULTIPLIER SEQUENCE SPACES. Konuralp Journal of Mathematics, 5(2), 260-267. https://izlik.org/JA25HZ78UW
AMA
1.Kama R, Altay B. DIFFERENCE MATRIX AND SOME MULTIPLIER SEQUENCE SPACES. Konuralp J. Math. 2017;5(2):260-267. https://izlik.org/JA25HZ78UW
Chicago
Kama, Ramazan, and Bilal Altay. 2017. “DIFFERENCE MATRIX AND SOME MULTIPLIER SEQUENCE SPACES”. Konuralp Journal of Mathematics 5 (2): 260-67. https://izlik.org/JA25HZ78UW.
EndNote
Kama R, Altay B (October 1, 2017) DIFFERENCE MATRIX AND SOME MULTIPLIER SEQUENCE SPACES. Konuralp Journal of Mathematics 5 2 260–267.
IEEE
[1]R. Kama and B. Altay, “DIFFERENCE MATRIX AND SOME MULTIPLIER SEQUENCE SPACES”, Konuralp J. Math., vol. 5, no. 2, pp. 260–267, Oct. 2017, [Online]. Available: https://izlik.org/JA25HZ78UW
ISNAD
Kama, Ramazan - Altay, Bilal. “DIFFERENCE MATRIX AND SOME MULTIPLIER SEQUENCE SPACES”. Konuralp Journal of Mathematics 5/2 (October 1, 2017): 260-267. https://izlik.org/JA25HZ78UW.
JAMA
1.Kama R, Altay B. DIFFERENCE MATRIX AND SOME MULTIPLIER SEQUENCE SPACES. Konuralp J. Math. 2017;5:260–267.
MLA
Kama, Ramazan, and Bilal Altay. “DIFFERENCE MATRIX AND SOME MULTIPLIER SEQUENCE SPACES”. Konuralp Journal of Mathematics, vol. 5, no. 2, Oct. 2017, pp. 260-7, https://izlik.org/JA25HZ78UW.
Vancouver
1.Ramazan Kama, Bilal Altay. DIFFERENCE MATRIX AND SOME MULTIPLIER SEQUENCE SPACES. Konuralp J. Math. [Internet]. 2017 Oct. 1;5(2):260-7. Available from: https://izlik.org/JA25HZ78UW
