Paired operators and paired kernels
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866911742742757376 |
|---|---|
| author | Câmara, M. Cristina Guimarães, André Partington, Jonathan R. |
| author_facet | Câmara, M. Cristina Guimarães, André Partington, Jonathan R. |
| contents | This paper is concerned with paired operators in the context of the Lebesgue Hilbert space on the unit circle and its subspace, the Hardy space. By considering when such operators commute, generalizations of the Brown--Halmos results for Toeplitz operators are derived. Further, the kernels of such operators are described, giving results on invariant and nearly-invariant subspaces, together with a generalization of Coburn's theorem on Toeplitz kernels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_07252 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Paired operators and paired kernels Câmara, M. Cristina Guimarães, André Partington, Jonathan R. Functional Analysis 30H10, 47B35, 47B38 This paper is concerned with paired operators in the context of the Lebesgue Hilbert space on the unit circle and its subspace, the Hardy space. By considering when such operators commute, generalizations of the Brown--Halmos results for Toeplitz operators are derived. Further, the kernels of such operators are described, giving results on invariant and nearly-invariant subspaces, together with a generalization of Coburn's theorem on Toeplitz kernels. |
| title | Paired operators and paired kernels |
| topic | Functional Analysis 30H10, 47B35, 47B38 |
| url | https://arxiv.org/abs/2304.07252 |