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About the properties (V) and (R.D.P.) in injective tensor products

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Abstract

In questo lavoro vogliamo provare che seX è uno spazio di Banach del tipoL con la proprietà (V) of Pelczynski (rispettivamente con la Reciproca Proprietà di Dunford Pettis) eY è uno spazio di Banach riflessivo alloraXɛ Y ha la proprietà (V) (rispettivamente la Reciproca Proprietà di Dunford Pettis).

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References

  1. Bourgain J.,New classes of L p spaces, Springer Verlag, 1981.

  2. Cembranos P., Kalton N.J., Saab E., Saab P.,Pelczynski's Property (V) on C(Ω, E) Spaces, Math. Ann.271, 91–97, 1985.

    Article  MATH  MathSciNet  Google Scholar 

  3. Diestel J., Uhl J.J.,Vector Measures, Math. Surveys,15, 1977.

  4. Diestel J.,Sequences and Series in Banach Spaces, Springer Verlag, 1984.

  5. Emmanuele G.,Property (V) and some of its relatives, to appear

  6. Leavelle T.,The Reciprocal Dunford Pettis Property, to appear in Ann. Mat. Pura ed Applicata.

  7. Pelczynski A.,Banach Spaces on which every unconditionally converging operator is weakly compact, Bull. Acad. Polon. Sci. vol. 10, No.12 (1962), 641–648.

    MATH  MathSciNet  Google Scholar 

  8. Saab E., Saab P.,A stability property of a class of Banach spaces not containing a complemented copy of l 1, Proc. Amer. Math. Soc.,84 (1982), 44–46.

    Article  MATH  MathSciNet  Google Scholar 

  9. Saab E., Saab P.,On unconditionally converging and weakly precompact operators, III. Journal of Math.,35, n. 3 (1991), 522–531.

    MATH  MathSciNet  Google Scholar 

  10. Singer I.,Bases in Banach Spaces, Springer Verlag, vol. 2, 1981.

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Work partially supported by M.U.R.S.T. (40%).

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Cilia, R. About the properties (V) and (R.D.P.) in injective tensor products. Rend. Circ. Mat. Palermo 47, 493–502 (1998). https://doi.org/10.1007/BF02851395

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  • DOI: https://doi.org/10.1007/BF02851395

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