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A variant of Grothendieck's Theorem on weak* convergent sequences

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References

  1. O. Burkinshaw, Weak compactness in the order dual of a vector lattice. Trans. Amer. Math. Soc.187, 183–201 (1974).

    Google Scholar 

  2. J.Diestel and J. J.Uhl Jr., Vector measures. Math. Surveys15 (1977).

  3. P. G. Dodds, Sequential convergence in the order duals of certain classes of Riesz spaces. Trans. Amer. Math. Soc.203, 391–403 (1975).

    Google Scholar 

  4. N.Dunford and J. T.Schwartz, Linear Operators, Part I. New York-London 1958.

  5. P.Meyer-Nieberg, Banach Lattices. Berlin-Heidelberg-New York 1991.

  6. H. H.Schaefer, Topological Vector Spaces, 5th printing. Berlin-Heidelberg-New York-Tokyo 1986.

  7. H. H.Schaefer, Banach Lattice and Positive Operators. Berlin-Heidelberg-New York 1974.

  8. H. H.Schaefer and X.-D.Zhang, On the Vitali-Hahn-Saks theorem. Oper. Theory: Adv. Appl.75 (1995).

  9. H. H. Schaefer andX.-D. Zhang, A note on order bounded vector measures. Arch. Math.63, 152–157 (1994).

    Google Scholar 

  10. G. L. Seever, Measures ofF-spaces. Trans. Amer. Math. Soc.133, 267–280 (1968).

    Google Scholar 

  11. Z.Semadeni, Banach Spaces of Continuous Functions. Warsaw 1971.

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  1. Helmut H. Schaefer & Xiao -Dong Zhang

    Present address: Department of Mathematics, Florida Atlantic University, 33431, Boca Raton, FL, USA

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    1. Helmut H. Schaefer
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    2. Xiao -Dong Zhang
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    Schaefer, H.H., Zhang, X.D. A variant of Grothendieck's Theorem on weak* convergent sequences. Arch. Math 65, 251–254 (1995). https://doi.org/10.1007/BF01195095

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    • DOI: https://doi.org/10.1007/BF01195095

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