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Operators intoL 1 of a vector measure and applications to Banach lattices

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References

  1. Diestel, J., Uhl, J.J., Jr.: Vector measures. (Math. Surv., vol. 15) Providence, RI: Am. Math. Soc. 1977

    Google Scholar 

  2. Bartle, R.G., Dunford, N., Schwartz, J.: Weak compactness and vector measures. Can. J. Math.7, 289–305 (1955)

    Google Scholar 

  3. Brooks, J.K., Dinculeanu, N.: Lebesgue-type spaces for vector integration, linear operators, weak completeness and weak compactness. J. Math. Anal. Appl.54, 348–389 (1976)

    Google Scholar 

  4. Bessaga, C., Pelczynski, A.: On bases and unconditional convergence of series in Banach spaces. Stud. Math.17, 151–164 (1958)

    Google Scholar 

  5. Kalton, N.: Spaces of compact operators. Math. Ann.208, 267–278 (1974)

    Google Scholar 

  6. Lewis, D.R.: Integration with respect to vector measures. Pac. J. Math.33, 157–165 (1970)

    Google Scholar 

  7. Lewis, D.R.: On integration and summability in vector spaces. III. J. Math.16, 294–307 (1972)

    Google Scholar 

  8. Lindenstrauss, J., Tzafriri, L.: Classical Banach spaces II. Berlin Heidelberg New York: Springer 1979

    Google Scholar 

  9. Meyer-Nieberg, P.: Zur schwachen Kompaktheit in Banachverbänden. Math. Z.134, 303–315 (1973)

    Google Scholar 

  10. Meyer-Nieberg, P.: Über Klassen schwach kompakter Operatoren in Banachverbänden. Math. Z.138, 145–159 (1974)

    Google Scholar 

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Curbera, G.P. Operators intoL 1 of a vector measure and applications to Banach lattices. Math. Ann. 293, 317–330 (1992). https://doi.org/10.1007/BF01444717

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