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Imbedding of the images of operators and reflexivity of Banach spaces

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Abstract

We establish a criterion of reflexivity for a separable Banach space in terms of the relation between the imbedding of the images, factorization, and majorization of operators acting in this space.

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References

  1. R. G. Douglas, “On majorization, factorization, and range inclusion of operators in Hilbert space,”Proc. Amer. Math. Soc.,17, No. 2, 413–415 (1966).

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  2. M. R. Embry, “Factorization on operators in Banach space,”Proc. Amer. Math. Soc.,38, No. 3, 587–590 (1973).

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  3. L. A. Lyusternik and V. I. Sobolev,Elements of Functional Analysis [in Russian], Nauka, Moscow (1965).

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  4. I. Lindenstrass and L. Tzafriri,Classical Banach Spaces. I, Springer, Berlin (1977).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 2, pp. 260–262, February, 1999.

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Vershinin, R.V. Imbedding of the images of operators and reflexivity of Banach spaces. Ukr Math J 51, 293–296 (1999). https://doi.org/10.1007/BF02513482

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  • DOI: https://doi.org/10.1007/BF02513482

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