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Generalization of the Schmidt lemma to the case of n-normal and d-normal operators in a Banach space

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Nonlinear Oscillations

We generalize the known Schmidt lemma to the case of linear, bounded, normally solvable operators that are n-normal or d-normal in infinite-dimensional Banach spaces. It is assumed that the kernels and images of these operators have complements in these spaces.

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Authors and Affiliations

  1. Zhitomir National Agroecological University, Zhitomir, Ukraine

    V. F. Zhuravlev

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  1. V. F. Zhuravlev
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Correspondence to V. F. Zhuravlev.

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Translated from Neliniini Kolyvannya, Vol. 12, No. 4, pp. 443–450, October–December, 2009.

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Zhuravlev, V.F. Generalization of the Schmidt lemma to the case of n-normal and d-normal operators in a Banach space. Nonlinear Oscill 12, 456–463 (2009). https://doi.org/10.1007/s11072-010-0088-y

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  • DOI: https://doi.org/10.1007/s11072-010-0088-y

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