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


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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 Sp. Based on this theorem, conditions of spectrum localization are obtained for certain classes of non-self-adjoint differential operators.

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Kh. Ishkin

Bashkir State University

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Email: Ishkin62@mai.ru
俄罗斯联邦, Ufa, Bashkortostan, 450076

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