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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.06477 |
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| _version_ | 1866911792729423872 |
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| author | Majumdar, Arup Johnson, P. Sam Mohapatra, Ram N. |
| author_facet | Majumdar, Arup Johnson, P. Sam Mohapatra, Ram N. |
| contents | In this paper, we discuss the Hyers-Ulam stability of closable (unbounded) operators with several interesting examples. We also present results pertaining to the Hyers-Ulam stability of the sum and product of closable operators to have the Hyers-Ulam stability and the necessary and sufficient conditions of the Schur complement and the quadratic complement of $2 \times 2$ block matrix $\mathcal A$ in order to have the Hyers-Ulam stability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_06477 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hyers-Ulam Stability of Unbounded Closable Operators in Hilbert Spaces Majumdar, Arup Johnson, P. Sam Mohapatra, Ram N. Functional Analysis 47A05, 47A10, 47A55 In this paper, we discuss the Hyers-Ulam stability of closable (unbounded) operators with several interesting examples. We also present results pertaining to the Hyers-Ulam stability of the sum and product of closable operators to have the Hyers-Ulam stability and the necessary and sufficient conditions of the Schur complement and the quadratic complement of $2 \times 2$ block matrix $\mathcal A$ in order to have the Hyers-Ulam stability. |
| title | Hyers-Ulam Stability of Unbounded Closable Operators in Hilbert Spaces |
| topic | Functional Analysis 47A05, 47A10, 47A55 |
| url | https://arxiv.org/abs/2403.06477 |