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Local duality of ultraproducts of Banach lattices

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Banach Space Theory and its Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 991))

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References

  1. Bernau, S.J.: A unified approach to the principle of local reflexivity. In:Notes in Banach spaces, Univ. of Texas, Austin.

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  2. Conroy, J.L.; Moore L.C. Jr.: Local reflexivity in Banach lattices. Preprint.

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  3. Dean, D.W.: The equation L(E, X**)=L(E, X)** and the principle of local reflexivity. Proc. Amer. Math. Soc. 40 (1973), 146–148.

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  4. Heinrich, S.: Ultraproducts in Banach space theory. J. Reine Angew. Math. 313 (1980), 72–104.

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  5. Kürsten, K.-D.: On some questions of A. Pietsch II. Teor.Funct., Funct. Anal. i Pril. 29 (1978), 61–73 (Russian).

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  6. Kürsten, K.-D.: S-Zahlen und Ultraprodukte von Operatoren in Banach-räumen. Diss. A, Leipzig 1977.

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  7. Lindenstrauss, J.; Rosenthal, H.P.: The Lp spaces. Israel J. Math. 7 (1969), 325–349.

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  8. Schaefer, H.H.: Banach lattices and positive operators. Springer-Verlag, Berlin-Heidelberg-New York 1974.

    Book  MATH  Google Scholar 

  9. Stern, J.: Ultraproducts and local properties of Banach spaces. Trans. Amer. Math. Soc. 240 (1978), 231–252.

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Albrecht Pietsch Nicolae Popa Ivan Singer

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© 1983 Springer-Verlag

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Kürsten, K.D. (1983). Local duality of ultraproducts of Banach lattices. In: Pietsch, A., Popa, N., Singer, I. (eds) Banach Space Theory and its Applications. Lecture Notes in Mathematics, vol 991. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061566

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  • DOI: https://doi.org/10.1007/BFb0061566

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12298-2

  • Online ISBN: 978-3-540-39877-6

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