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Weak compactness, pseudo-reflexivity and quasi-reflexivity

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References

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

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

    Google Scholar 

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

  4. Eberlein, W. F.: Weak compactness in Banach spaces. I. Proc. Nat. Acad. Sci. U.S.A.33, 51–53 (1947).

    Google Scholar 

  5. Grothendieck, A.: Critères de compacité dans les espaces fonctionnels généraux. Am. J. Math.74, 168–186 (1952).

    Google Scholar 

  6. James, R. C.: Reflexivity and the supremum of linear functionals. Ann. Math.66, 159–169 (1957).

    Google Scholar 

  7. Klee, V.: Some characterizations of reflexivity. Rev. Ci. Lima52, 15–23 (1950).

    Google Scholar 

  8. Köthe, G.: Topologische lineare Räume. I. Berlin-Göttingen-Heidelberg: Springer-Verlag 1960.

    Google Scholar 

  9. Pták, V.: On a theorem ofW. F. Eberlein. Studia Math.14, 276–284 (1954).

    Google Scholar 

  10. 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 

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

    Google Scholar 

  12. —— On Banach spaces reflexive with respect to a linear subspace of their conjugate space. III. Rev. math. pures et appl.8, 139–150 (1963).

    Google Scholar 

  13. —— Bases and quasi-reflexivity of Banach spaces. Math. Ann.153, 199–209 (1964).

    Google Scholar 

  14. Šmulian, V.: On the principle of inclusion in the space of type (B). Mat. Sbornik, N.S.5, 317–328 (1939) [Russian].

    Google Scholar 

  15. —— Über lineare topologische Räume. Mat. Sbornik, N.S.7, 425–448 (1940).

    Google Scholar 

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Singer, I. Weak compactness, pseudo-reflexivity and quasi-reflexivity. Math. Ann. 154, 77–87 (1964). https://doi.org/10.1007/BF01360728

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