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Bases, basic sequences and reflexivity of linear topological spaces

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References

  1. Retherford, J. R., andC. W. McArthur: Some remarks on bases in linear topological spaces. Math. Ann.164, 38–41 (1966).

    Google Scholar 

  2. Arsove, M., andR. Edwards: Generalized bases in topological linear spaces. Studia Math.19, 95–113 (1960).

    Google Scholar 

  3. Bessaga, C., andA. Pelczynski: On bases and unconditional convergences of series in Banach spaces. Studia Math.17, 151–164 (1958).

    Google Scholar 

  4. —— A generalization of results of R. C. James concerning absolute bases in Banach spaces. Studia Math.17, 165–174 (1958).

    Google Scholar 

  5. ——, andS. Rolewicz: Some properties of the space (s). Colloquium Mathematicum7, 45–51 (1959).

    Google Scholar 

  6. Bourbaki, N.: Espaces vectoriels topologiques. Chapitres I, II. Paris 1953.

  7. Day, M. M.: Normed linear spaces. Berlin-Göttingen-Heidelberg: Springer 1962.

    Google Scholar 

  8. Dieudonné, J.: On biorthogonal systems. Michigan Math. J.2, 7–20 (1953/54).

    Google Scholar 

  9. James, R. C.: Bases and reflexivity in Banach spaces. Ann. Math.52, 518–527 (1950).

    Google Scholar 

  10. Kelley, J. K., andI. Namioka: Linear topological spaces. New York: D. Van Nostrand 1963.

    Google Scholar 

  11. Pelczynski, A.: A note to the paper of I. Singer “Basic Sequences and reflexivity of Banach Spaces.” Studia Math.21, 371–374 (1962).

    Google Scholar 

  12. Ptak, V.: Biorthogonal systems and reflexivity of Banach spaces. Czechosl. Math. J.9, 319–326 (1959).

    Google Scholar 

  13. Singer, I.: Basic sequences and reflexivity of Banach spaces. Studia Math.21, 351–369 (1962).

    Google Scholar 

  14. Wilansky, A.: The basis in Banach space. Duke Math. J.18, 795–798 (1951).

    Google Scholar 

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Authors and Affiliations

  1. Baton Rouge, Louisiana

    J. R. Retherford

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  1. J. R. Retherford
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Partially supported by National Science Foundation Grant No. GP-2179.

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Retherford, J.R. Bases, basic sequences and reflexivity of linear topological spaces. Math. Ann. 164, 280–285 (1966). https://doi.org/10.1007/BF01360252

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