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An interpolation theorem for transformers

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Abstract

Sufficient conditions are found for a triple of Banach spaces to be interpolational with respect to another triple.

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References

  1. I. V. Atlasov, “Interpolation of linear transformers,”Dokl. Ross. Akad. Nauk [Russian Math. Dokl.],330, No. 1, 7–9 (1993).

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  2. Yu. A. Brudnyi, S. G. Krein, and E. M. Semenov, “Interpolation of Linear Operators,” in:Itogi Nauki i Tekhniki. Calculus [in Russian], Vol. 24, VINITI, Moscow (1986), pp. 3–164.

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  3. S. G. Krein, Yu. I. Petunin, and E. M. Semenov,Interpolation of Linear Operators [in Russian], Nauka, Moscow (1987).

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Authors and Affiliations

  1. Voronezh Timber Institute, USSR

    I. V. Atlasov

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  1. I. V. Atlasov
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Additional information

Translated fromMatematicheskie Zametki, Vol. 58, No. 4, pp. 483–492, October, 1995.

The author is grateful to Prof. S. G. Krein for help and participation in this work.

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Atlasov, I.V. An interpolation theorem for transformers. Math Notes 58, 1013–1020 (1995). https://doi.org/10.1007/BF02305088

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  • DOI: https://doi.org/10.1007/BF02305088

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