On the Stability of Self-Adjointness of Linear Relations
This paper focuses on the stability of self-adjointness of linear relations under perturbations in Hilbert spaces. It is shown that a self-adjoint relation is still self-adjoint under bounded and relatively bounded perturbations. The results obtained in the present paper generalize the corresponding...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2019/6784546 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832563724423004160 |
|---|---|
| author | Yan Liu |
| author_facet | Yan Liu |
| author_sort | Yan Liu |
| collection | DOAJ |
| description | This paper focuses on the stability of self-adjointness of linear relations under perturbations in Hilbert spaces. It is shown that a self-adjoint relation is still self-adjoint under bounded and relatively bounded perturbations. The results obtained in the present paper generalize the corresponding results for linear operators to linear relations, and some weaken the conditions of the related existing results. |
| format | Article |
| id | doaj-art-a9e72739792e46f88f0010408d2de7c6 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-a9e72739792e46f88f0010408d2de7c62025-02-03T01:12:45ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/67845466784546On the Stability of Self-Adjointness of Linear RelationsYan Liu0Department of Mathematics and Physics, Hohai University, Changzhou, Jiangsu 213022, ChinaThis paper focuses on the stability of self-adjointness of linear relations under perturbations in Hilbert spaces. It is shown that a self-adjoint relation is still self-adjoint under bounded and relatively bounded perturbations. The results obtained in the present paper generalize the corresponding results for linear operators to linear relations, and some weaken the conditions of the related existing results.http://dx.doi.org/10.1155/2019/6784546 |
| spellingShingle | Yan Liu On the Stability of Self-Adjointness of Linear Relations Discrete Dynamics in Nature and Society |
| title | On the Stability of Self-Adjointness of Linear Relations |
| title_full | On the Stability of Self-Adjointness of Linear Relations |
| title_fullStr | On the Stability of Self-Adjointness of Linear Relations |
| title_full_unstemmed | On the Stability of Self-Adjointness of Linear Relations |
| title_short | On the Stability of Self-Adjointness of Linear Relations |
| title_sort | on the stability of self adjointness of linear relations |
| url | http://dx.doi.org/10.1155/2019/6784546 |
| work_keys_str_mv | AT yanliu onthestabilityofselfadjointnessoflinearrelations |