Email this article Conditions of Spectrum Localization for Operators not Close to Self-Adjoint Operators
- Authors: Ishkin K.K.1
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Affiliations:
- Bashkir State University
- Issue: Vol 97, No 2 (2018)
- Pages: 170-173
- Section: Mathematics
- URL: https://journal-vniispk.ru/1064-5624/article/view/225485
- DOI: https://doi.org/10.1134/S1064562418020175
- ID: 225485
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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 Sp. Based on this theorem, conditions of spectrum localization are obtained for certain classes of non-self-adjoint differential operators.
About the authors
Kh. K. Ishkin
Bashkir State University
Author for correspondence.
Email: Ishkin62@mai.ru
Russian Federation, Ufa, Bashkortostan, 450076
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