Quasi-selfadjoint extensions of dual pairs of linear relations
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929301764440064 |
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| author | Xu, Guixin Ren, Guojing |
| author_facet | Xu, Guixin Ren, Guojing |
| contents | This paper investigates quasi-selfadjoint extensions of dual pairs of linear relations in Hilbert spaces. Some properties of dual pairs of linear relations are given and an Hermitian linear relation associated with a dual pair of linear relations is introduced. Necessary and sufficient conditions for quasi-selfadjoint extensions of dual pairs of linear relations are obtained. These results extends the corresponding results for dual pairs of linear operators to dual pairs of linear relations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02355 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasi-selfadjoint extensions of dual pairs of linear relations Xu, Guixin Ren, Guojing Functional Analysis Spectral Theory 47A06, 47A57, 47B25 This paper investigates quasi-selfadjoint extensions of dual pairs of linear relations in Hilbert spaces. Some properties of dual pairs of linear relations are given and an Hermitian linear relation associated with a dual pair of linear relations is introduced. Necessary and sufficient conditions for quasi-selfadjoint extensions of dual pairs of linear relations are obtained. These results extends the corresponding results for dual pairs of linear operators to dual pairs of linear relations. |
| title | Quasi-selfadjoint extensions of dual pairs of linear relations |
| topic | Functional Analysis Spectral Theory 47A06, 47A57, 47B25 |
| url | https://arxiv.org/abs/2404.02355 |