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Bases and quasi-reflexivity of Banach spaces

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References

  1. Civin, P., andB. Yood: Quasi-reflexive spaces. Proc. Am. Math. Soc.8, 906–911 (1957).

    Google Scholar 

  2. Cuttle, Y.: On quasi-reflexive Banach spaces. Proc. Am. Math. Soc.12, 936–940 (1961).

    Google Scholar 

  3. Day, M. M.: Normed linear spaces. Berlin-Göttingen-Heidelberg: Springer-Verlag 1958.

    Google Scholar 

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

    Google Scholar 

  5. Ruston, A. F.: Conjugate Banach spaces. Proc. Cambridge Phil. Soc.53, 576–580 (1957).

    Google Scholar 

  6. Singer, I.: On Banach spaces reflexive with respect to a linear subspace of their conjugate space. Bull. Math. Soc. Sci. Math. Phys. R.P.R.2, 449–462 (1958).

    Google Scholar 

  7. —— On Banach spaces reflexive with respect to a linear subspace of their conjugate space. II. Math. Ann.145, 64–76 (1962).

    Google Scholar 

  8. —— Basic sequences and reflexivity of Banach spaces. Studia Math.21, 351–369 (1962).

    Google Scholar 

  9. —— On Banach spaces reflexive with respect to a linear subspace of their conjugate space. III. Rev. math. pures et appl.8, 303–311 (1963).

    Google Scholar 

  10. -- On bases in quasi-reflexive Banach spaces. Rev. math. pures appl.8 (1963) (to appear).

  11. -- Weak* bases in conjugate Banach spaces. II. Rev. math. pures appl.8 (1963) (to appear).

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

    Google Scholar 

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Dedicated to ProfessorMiron Nicolescu in honour of his sixtieth birthday

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Singer, I. Bases and quasi-reflexivity of Banach spaces. Math. Ann. 153, 199–209 (1964). https://doi.org/10.1007/BF01360316

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