On One Method of Studying Spectral Properties of Non-selfadjoint Operators
Author
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-01
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this paper, we explore a certain class of Non-selfadjoint operators acting on a complex separable Hilbert space.
We consider a perturbation of a nonselfadjoint operator by an operator that is also nonselfadjoint.
Our consideration is based on known spectral properties of the real component of a nonselfadjoint compact operator.
Using a technique of the sesquilinear forms theory, we establish the compactness property of the resolvent and obtain the asymptotic equivalence between the real component of the resolvent and the resolvent of the real component for some class of nonselfadjoint operators.
We obtain a classification of nonselfadjoint operators in accordance with belonging their resolvent to the Schatten-von Neumann class and formulate a sufficient condition of completeness of the root vector system.
Finally, we obtain an asymptotic formula for the eigenvalues.
American Psychological Association (APA)
Kukushkin, Maksim V.. 2020. On One Method of Studying Spectral Properties of Non-selfadjoint Operators. Abstract and Applied Analysis،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1119834
Modern Language Association (MLA)
Kukushkin, Maksim V.. On One Method of Studying Spectral Properties of Non-selfadjoint Operators. Abstract and Applied Analysis No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1119834
American Medical Association (AMA)
Kukushkin, Maksim V.. On One Method of Studying Spectral Properties of Non-selfadjoint Operators. Abstract and Applied Analysis. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1119834
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119834