Hyers-Ulam stability of closed linear relations in Hilbert spaces
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910801116266496 |
|---|---|
| author | Majumdar, Arup |
| author_facet | Majumdar, Arup |
| contents | This paper introduces the concept of Hyers-Ulam stability for linear relations in normed linear spaces and presents several intriguing results that characterize the Hyers-Ulam stability of closed linear relations in Hilbert spaces. Additionally, sufficient conditions are established under which the sum and product of two Hyers-Ulam stable linear relations remain stable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15204 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hyers-Ulam stability of closed linear relations in Hilbert spaces Majumdar, Arup Functional Analysis 47A06, 47A10, 47B25 This paper introduces the concept of Hyers-Ulam stability for linear relations in normed linear spaces and presents several intriguing results that characterize the Hyers-Ulam stability of closed linear relations in Hilbert spaces. Additionally, sufficient conditions are established under which the sum and product of two Hyers-Ulam stable linear relations remain stable. |
| title | Hyers-Ulam stability of closed linear relations in Hilbert spaces |
| topic | Functional Analysis 47A06, 47A10, 47B25 |
| url | https://arxiv.org/abs/2501.15204 |