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Conditions of Spectrum Localization for Operators not Close to Self-Adjoint Operators

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Abstract

The Keldysh theorem is generalized to an arbitrary closed operator that is not necessarily close to self-adjoint operators and has a resolvent of Schatten–von Neumann class S p . Based on this theorem, conditions of spectrum localization are obtained for certain classes of non-self-adjoint differential operators.

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Authors and Affiliations

  1. Bashkir State University, Ufa, 450076, Bashkortostan, Russia

    Kh. K. Ishkin

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  1. Kh. K. Ishkin
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Correspondence to Kh. K. Ishkin.

Additional information

Original Russian Text © Kh.K. Ishkin, 2018, published in Doklady Akademii Nauk, 2018, Vol. 479, No. 5, pp. 497–500.

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Ishkin, K.K. Conditions of Spectrum Localization for Operators not Close to Self-Adjoint Operators. Dokl. Math. 97, 170–173 (2018). https://doi.org/10.1134/S1064562418020175

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