THE SEQUENCE SPACE $\mathcal C(p)$ AND RELATED MATRIX TRANSFORMATIONS

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Published: Sep 1, 1990
DOI: https://doi.org/10.5556/j.tkjm.21.1990.4668
Keywords:
Sequence space Matrix transformations Incomplete space Kothe- Toeplitz dual

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S. Pehlivan
University of Akdeniz.
Ö. Cakar
University of Ankara.

Abstract




In this paper we define the sequence space $\mathcal C(p)$ defined in an incomplete seminormed space $(X,g)$, namely
\[ \mathcal C(p) = \{(x_k) \subset X: \sup_{r\ge 1}g(x_k - x_{k+r})^{p_k}\to 0, k\to\infty \} \]


where $p =(p_k)$ is a sequence of positive numbers. Then we investigated some of its fundamental properties and some of related matrix transformations.




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How to Cite
Pehlivan, S., & Cakar , Ö. . (1990). THE SEQUENCE SPACE $\mathcal C(p)$ AND RELATED MATRIX TRANSFORMATIONS. Tamkang Journal of Mathematics, 21(3), 233–237. https://doi.org/10.5556/j.tkjm.21.1990.4668
Issue
Vol. 21 No. 3 (1990)
Section
Papers
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References

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