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On Banach spaces reflexive with respect to a linear subspace of their conjugate space. II

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References

  1. Banach, S.: Théorie des opérations linéaires. Warszawa 1932.

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

    Google Scholar 

  3. Dunford, N., andJ. Schwartz: Linear operators. Part I: General theory. Interscience Publishers, 1958.

  4. Grünbaum, B.: Some applications of expansion constants. Pacific J. Math.10, 193–201 (1960).

    Google Scholar 

  5. Gurevič, L. A.: On bases in conjugate spaces. Trudy Sem. Funk. Anal.6, 42–43 (1958) (Russian).

    Google Scholar 

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

    Google Scholar 

  7. Karlin, S.: Bases in Banach spaces. Duke Math. J.15, 971–985 (1948).

    Google Scholar 

  8. Klee, V. L. jr.: Some characterizations of reflexivity. Rev. Cienc. Lima52, 15–23 (1950).

    Google Scholar 

  9. Krein, M., andV. Šmulian: On regularly convex sets in the space conjugate to a Banach space. Ann. Math.41, 556–583 (1940).

    Google Scholar 

  10. Pettis, B. J.: A note on regular Banach spaces. Bull. Am. Math. Soc.44, 420–428 (1938).

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  13. Singer, I.: On a theorem ofJ. D. Weston. J. London Math. Soc.34, 320–324 (1959).

    Google Scholar 

  14. Singer, I.: Sur les espaces de Banach à base absolue, canoniquement équivalents à un dual d'espace de Banach. C. R. Acad. Sci. (Paris)251, 620–621 (1960).

    Google Scholar 

  15. Singer, I.: Sur les espaces de Banach à base absolue, canoniquement équivalents à un dual d'espace de Banach. II. C. R. Acad. Sci. (Paris)251, 2456–2458 (1960).

    Google Scholar 

  16. Weston, J. D.: The representation of linear functionals by sequences of functions. J. London Math. Soc.33, 123–125 (1958).

    Google Scholar 

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

    Google Scholar 

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Singer, I. On Banach spaces reflexive with respect to a linear subspace of their conjugate space. II. Math. Ann. 145, 64–76 (1962). https://doi.org/10.1007/BF01452362

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