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Cesàro wedge and weak Cesàro wedge FK-spaces

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Abstract

In this paper we deal with Cesàro wedge and weak Cesàro wedge FK-spaces, and give several characterizations. Some applications of these spaces to general summability domains are also studied.

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References

  1. G. Bennett: The Glinding Humps technique for FK-spaces. Trans. Amer. Math. Soc. 166 (1972), 285–292.

    Google Scholar 

  2. G. Bennett: A new class of sequence spaces with applications in summability theory. J. Reine Angew. Math. 266 (1974), 49–75.

    Google Scholar 

  3. N. Dunford and J.T. Schwartz: Linear Operators. Interscience Publishers, New York, 1958.

    Google Scholar 

  4. G. Goes and S. Goes: Sequences of bounded variation and sequences of Fourier coeffi-cients. I. Math. Z. 118 (1970), 93–102.

    Google Scholar 

  5. G. Goes: Sequences of bounded variation and sequences of Fourier coefficients. II. J. Math. Anal. Appl. 39 (1972), 477–494.

    Google Scholar 

  6. P. K. Kamthan and M. Gupta: Sequence Spaces and Series. Marcel Dekker, New York, Basel, 1981.

    Google Scholar 

  7. K. Knopp and G.G. Lorentz: Beiträge zur absoluten Limitierung. Arch. Math. 2 (1949), 10–16.

    Google Scholar 

  8. G. Köthe: Topological Vector Spaces I. Springer-Verlag, New York, 1969.

    Google Scholar 

  9. A. P. Robertson and W. J. Robertson: Topological Vector Spaces. University Press, Cambridge, 1964.

    Google Scholar 

  10. A. K. Snyder: An embedding property of sequence spaces related to Meyer-König and Zeller type theorems. Indiana Univ. Math. J. 35 (1986), 669–679.

    Google Scholar 

  11. A. K. Snyder and A. Wilansky: Inclusion theorems and semiconservative FK-spaces. Rocky Mountain J. Math. 2 (1972), 595–603.

    Google Scholar 

  12. A. Wilansky: Functional Analysis. Blaisdell Press, New York-Toronto-London, 1964.

    Google Scholar 

  13. A. Wilansky: Summability Through Functional Analysis. North Holland, Amsterdam-New York-Oxford, 1984.

    Google Scholar 

  14. K. Zeller: Allgemeine Eigenschaften von Limitierungsverfahren. Math. Z. 53 (1951), 463–487.

    Google Scholar 

  15. K. Zeller: Theorie der Limitierungsverfahren. Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958.

    Google Scholar 

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İnce, H.G. Cesàro wedge and weak Cesàro wedge FK-spaces. Czechoslovak Mathematical Journal 52, 141–154 (2002). https://doi.org/10.1023/A:1021731623254

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  • DOI: https://doi.org/10.1023/A:1021731623254

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