Conjugations of Unitary Operators, II
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914689654456320 |
|---|---|
| author | Mashreghi, Javad Ptak, Marek Ross, William T. |
| author_facet | Mashreghi, Javad Ptak, Marek Ross, William T. |
| contents | For a given unitary operator $U$ on a separable complex Hilbert space $\h$, we describe the set $\mathscr{C}_{c}(U)$ of all conjugations $C$ (antilinear, isometric, and involutive maps) on $\h$ for which $C U C = U$. As this set might be empty, we also show that $\mathscr{C}_{c}(U) \not = \varnothing$ if and only if $U$ is unitarily equivalent to $U^{*}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14997 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Conjugations of Unitary Operators, II Mashreghi, Javad Ptak, Marek Ross, William T. Functional Analysis 47A65 For a given unitary operator $U$ on a separable complex Hilbert space $\h$, we describe the set $\mathscr{C}_{c}(U)$ of all conjugations $C$ (antilinear, isometric, and involutive maps) on $\h$ for which $C U C = U$. As this set might be empty, we also show that $\mathscr{C}_{c}(U) \not = \varnothing$ if and only if $U$ is unitarily equivalent to $U^{*}$. |
| title | Conjugations of Unitary Operators, II |
| topic | Functional Analysis 47A65 |
| url | https://arxiv.org/abs/2402.14997 |