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A predual ofl 1 which is not isomorphic to aC(K) space

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Abstract

We give an example of a Banach spaceX such that (i)X * is isometric tol 1, (ii)X is isometric to a subspace ofCθ) and (iii)X is not isomorphic to a complemented subspace of anyC(K) space.

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References

  1. C. Bessaga and A. Pelczynski,Spaces of continous functions (IV), Studia Math.19 (1960), 53–62.

    MATH  MathSciNet  Google Scholar 

  2. V. I. Gurari,Space of universal disposition, isotropic spaces and the Mazur problem on rotations of Banach spaces, Sibirski Math. Z.7 (1966), 1002–1013.

    Google Scholar 

  3. A. J. Lazar and J. Lindenstrauss,Banach spaces whose duals are L 1 spaces and their representing matrices, Acta Math.126 (1971), 165–193.

    Article  MATH  MathSciNet  Google Scholar 

  4. J. LindenstraussExtension of compact operators, Mem. Amer. Math. Soc. No. 48, 1964.

  5. J. Lindenstrauss and A. Pelczynski,Absolutely summing operators in p spaces and their applications, Studia Math.29 (1968), 275–326.

    MATH  MathSciNet  Google Scholar 

  6. J. Lindenstrauss and H. P. Rosenthal,The p spaces, Israel J. Math.,7 (1969), 325–349.

    MATH  MathSciNet  Google Scholar 

  7. C. Stegall,Banach spaces whose duals contain l 1 (Γ)with applications to the study of dual L 1 (μ)spaces, Trans. Amer. Math. Soc. (to appear).

  8. P. Wojtaszczyk,Some remarks on the Gurari space, Studia Math.,41 (1972), 207–210.

    MATH  MathSciNet  Google Scholar 

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This is a part of the first author’s Ph. D. Thesis prepared in the Hebrew University of erusalem under the supervision of the second author.

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Benyamini, Y., Lindenstrauss, J. A predual ofl 1 which is not isomorphic to aC(K) space. Israel J. Math. 13, 246–254 (1972). https://doi.org/10.1007/BF02762798

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  • DOI: https://doi.org/10.1007/BF02762798

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