Kernels of paired operators and their adjoints
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912163581394944 |
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| author | Câmara, M. Cristina Partington, Jonathan R. |
| author_facet | Câmara, M. Cristina Partington, Jonathan R. |
| contents | We review the basic properties of paired operators and their adjoints, the transposed paired operators, with particular reference to commutation relations, and we study the properties of their kernels, bringing out their similarities and also, somewhat surprisingly, their stark differences. Various notions expressing different invariance properties are also reviewed and we extend to paired operators some known invariance results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14120 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kernels of paired operators and their adjoints Câmara, M. Cristina Partington, Jonathan R. Functional Analysis Complex Variables 30H10, 47B35, 47B38 We review the basic properties of paired operators and their adjoints, the transposed paired operators, with particular reference to commutation relations, and we study the properties of their kernels, bringing out their similarities and also, somewhat surprisingly, their stark differences. Various notions expressing different invariance properties are also reviewed and we extend to paired operators some known invariance results. |
| title | Kernels of paired operators and their adjoints |
| topic | Functional Analysis Complex Variables 30H10, 47B35, 47B38 |
| url | https://arxiv.org/abs/2408.14120 |