Difference sequence spaces defined by a sequence of modulus functions

Authors

  • Kuldip Raj Shri Mata Vaishno Devi University.
  • Sunil K. Sharma Shri Mata Vaishno Devi University.

DOI:

https://doi.org/10.4067/S0716-09172011000200005

Keywords:

Paranorm space, Difference sequence space, Modulus function.

Abstract

In the present paper we study difference sequence spaces defined by a sequence of modulus functions and examine some topological properties of these spaces.

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References

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[3] Et, M., Altin, Y. and Altinok, H., On some generalized difference sequence spaces defined by a modulus functions , Filomat 17, 23-33, (2003).

[4] Kizmaz, H., On certain sequence spaces , Cand. Math. Bull., 24, pp. 169-176, (1981).

[5] Lindler, L., Uber de la Valle-Pousinsche Summierbarkeit Allgemeiner Orthogonal-reihen, Acta Math. Acad. Sci. Hungar, 16, pp. 375-387, (1965).

[6] Maddox, I. J., Elements of functional Analysis , Cambridge Univ. Press, (1970).

[7] Malkowsky, E. and Savas, E., Some λ-sequence spaces defined by a modulus, Archivum Mathematicum, 36, pp. 219-228, (2000).

[8] Savas, E., On some generalized sequence spaces defined by a modulus , Indian J. pure and Appl. Math., 30, pp. 459-464, (1999).

[9] Wilansky, A., Summability through Functional Analysis, North- Holland Math. stnd. (1984).

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Published

2011-12-10

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Section

Artículos

How to Cite

[1]
“Difference sequence spaces defined by a sequence of modulus functions”, Proyecciones (Antofagasta, On line), vol. 30, no. 2, pp. 189–199, Dec. 2011, doi: 10.4067/S0716-09172011000200005.