Research Article

DIFFERENCE MATRIX AND SOME MULTIPLIER SEQUENCE SPACES

Volume: 5 Number: 2 October 15, 2017
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. [1] Aizpuru, A. and Perez-Fernandez, F. J., Characterizations of series in Banach spaces, Acta Math. Univ. Comenian., 58 (1999), No. 2, 337–344.
  2. [2] Aizpuru, A. and Perez-Fernandez, F. J., Sequence spaces associated to a series in a Banach space (sequence spaces associated to a series), Indian J. pure appl. Math., 33 (2002), No. 9, 1317–1329.
  3. [3] F.Albiac, N. J.Kalton, Topics in Banach Spaces Theory, Springer-Verlag, New York (2006).
  4. [4] B. Altay, F. Basar Certain topological properties and duals of the domain of a triangle matrix in a sequence space, J. Math. Anal. Appl. 336 (2007), no. 2, 632–645.
  5. [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. [6] C.A. Bektas, R. Colak, On some generalized difference sequence spaces, Thai J. Math., 3(1) (2005), 83–98.
  7. [7] C. Bessaga, A. Pelczynski, On bases and unconditional convergence of series in Banach spaces, Stud. Math., 17 (1958), 151–164.
  8. [8] J. Diestel, Sequences and Series in Banach Spaces, Springer-Verlag, New York (1984).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Bilal Altay
Türkiye

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
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