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Sequence spaces with small β-duals

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References

  1. Amemiya, I., Komura, Y.: Über nichtvollständige Montelräume. Math. Ann.177, 273–277 (1968)

    Google Scholar 

  2. Banach, S.: Théorie des Operations Linéaires. Monografje Matematyczne, Warsaw, 1932

  3. Bennett, G.: Some applications of functional analysis to summability theory. Ph.D. Thesis, Cambridge University, 1970

  4. Bennett, G.: The gliding humps technique forFK-spaces. Trans. Am. Math. Soc.1, 166, 285–292 (1972)

    Google Scholar 

  5. Bennett, G., Kalton, N.J.: Inclusion theorems forK-spaces. Can. J. Math.25, 511–524 (1973)

    Google Scholar 

  6. Garling, D.J.H.: On topological sequence spaces. Proc. Camb. Phil. Soc.63, 997–1019 (1967)

    Google Scholar 

  7. Garling, D.J.H.: The β- and γ-duality of sequence spaces. Proc. Camb. Phil. Soc.63, 963–981 (1967)

    Google Scholar 

  8. Goffman, C., Pedrick, G.: First course in Functional Analysis. Englewood Cliffs, N.J.: Prentice Hall 1965

    Google Scholar 

  9. Gupta, M., Kamthan, P.K.: Sequence spaces and Series. New York: M. Dekker 1981

    Google Scholar 

  10. Lebesgue, H.: Sur les intègrales singulières. Toulouse Ann. (3)1, 25–117 (1910)

    Google Scholar 

  11. Neder, L.: Über den Zusammenhang zweier Sätze von Lebesgue und Toeplitz. Math. Z.49, 576–578 (1944)

    Google Scholar 

  12. Robertson, A.P., Robertson, W.J.: Topological vector spaces. Cambridge: Cambridge University Press 1964

    Google Scholar 

  13. Ruckle, W.H.: Sequence spaces. Boston: Pitman 1981

    Google Scholar 

  14. Snyder, A.K.: An embedding property of sequence spaces related to Meyer-König and Zeller type theorems. To appear

  15. Steinhaus, H.: Quelques remarques sur la gènèralization de la notion de limite (Polish). Prace mat.-fiz.22, 121–134 (1911)

    Google Scholar 

  16. Toeplitz, O.: Über allgemeine lineäre Mittelbildungen. Prace mat.-fiz.22, 113–118 (1911)

    Google Scholar 

  17. Wilansky, A.: Modern methods in topological vector spaces. New York: McGraw-Hill 1978

    Google Scholar 

  18. Wilansky, A.: Summability through functional analysis. Math. Studies85. Amsterdam: North Holland 1984

    Google Scholar 

  19. Zeller, K., Beekman, W.: Theorie der Limitierungsverfahren. Ergebnisse der Math.15, Berlin Heidelberg New York: Springer 1970

    Google Scholar 

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Bennett, G. Sequence spaces with small β-duals. Math Z 194, 321–329 (1987). https://doi.org/10.1007/BF01162240

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  • DOI: https://doi.org/10.1007/BF01162240

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