SOME GENERALIZATIONS OF THE SEQUENCE SPACE

@inproceedings{Aydin2007SOMEGO,
  title={SOME GENERALIZATIONS OF THE SEQUENCE SPACE},
  author={Cafer Aydin and Feyzi Basar},
  year={2007}
}
Abstract – In the present paper, the sequence space a(u, p) of a non-absolute type is introduced and it is proved that the space a(u, p) is linearly isomorphic to the Maddox’s space ( ). p Besides this, the basis is constructed and the α-, βand γ-duals are computed for the space a(u, p). Furthermore, some matrix mappings from a(u, p) to some sequence spaces are characterized. The final section of the paper is devoted to some consequences related to the rotundity of the space a(u, p). 

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
SHOWING 1-10 OF 23 REFERENCES

On the space of sequences of p-bounded variation and related matrix mappings

  • F. Basar, B. Altay
  • Ukrainian Math. J
  • 2003
Highly Influential
11 Excerpts

Spaces of strongly summable sequences, Quart

  • I. J. Maddox
  • J. Math. Oxford
  • 1967
Highly Influential
8 Excerpts

Some new sequence spaces which include the spaces p and ∞

  • C. Aydın, F. Başar
  • Demonstr. Math
  • 2005
Highly Influential
4 Excerpts

Matrix mappings on the space bs(p) and its α-, β- and γ-duals

  • F. Başar, B. Altay
  • Aligarh Bull. Math
  • 2002
Highly Influential
4 Excerpts

On the paranormed Riesz sequence spaces of non-absolute type

  • B. Altay, F. Başar
  • Southeast Asian Bull. Math
  • 2002
Highly Influential
4 Excerpts

On certain sequence spaces, Canad

  • H. Kızmaz
  • 1981
Highly Influential
3 Excerpts

Similar Papers

Loading similar papers…