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On a tensor product characterization of nuclearity

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References

  1. Apiola, H.: Duality between spaces ofp-summable sequences, (p, q)-summing operators and characterizations of nuclearity. Math. Ann.219, 53–64 (1976)

    Google Scholar 

  2. Grothendieck, A.: Produits tensoriels topologiques et espaces nucléaires. Mem. Amer. Math. Soc.16 (1955)

  3. Johnson, W.B., Tzafriri, L.: On the local structure of subspaces of Banach lattices. Israel J. Math.20, 292–299 (1975)

    Google Scholar 

  4. Lindenstrauss, J.: The geometric theory of the classical Banach spaces. Actes Congress Int. Math. Paris: Gauthier-Villars 1970

    Google Scholar 

  5. Pietsch, A.: Nuclear locally convex spaces. Berlin, Heidelberg, New York: Springer 1972

    Google Scholar 

  6. Pietsch, A.: Absolutp-summierende Abbildungen in normierten Räumen. Studia Math.28, 333–353 (1967)

    Google Scholar 

  7. Stegall, C.P., Retherford, J.R.: Fully nuclear and completely nuclear operators with applications to ℒ1 and ℒ spaces. Trans. Amer. Math. Soc.163, 457–492 (1972)

    Google Scholar 

  8. Tzafriri, L.: On Banach spaces with unconditional bases. Israel J. Math.17, 84–93 (1972)

    Google Scholar 

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John, K., Zizler, V. On a tensor product characterization of nuclearity. Math. Ann. 244, 83–87 (1979). https://doi.org/10.1007/BF01420340

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  • DOI: https://doi.org/10.1007/BF01420340

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