Maps on self-adjoint operators preserving some relations related to commutativity
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917590252650496 |
|---|---|
| author | Karder, Mahdi Petek, Tatjana |
| author_facet | Karder, Mahdi Petek, Tatjana |
| contents | In this paper, we give the complete description of maps on self-adjoint bounded operators on Hilbert space which preserve a triadic relation involving the difference of operators and either commutativity or quasi-commutativity in both directions. We show that those maps are implemented by unitary or antiunitary equivalence and possible additive perturbation by a scalar operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09227 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Maps on self-adjoint operators preserving some relations related to commutativity Karder, Mahdi Petek, Tatjana Functional Analysis In this paper, we give the complete description of maps on self-adjoint bounded operators on Hilbert space which preserve a triadic relation involving the difference of operators and either commutativity or quasi-commutativity in both directions. We show that those maps are implemented by unitary or antiunitary equivalence and possible additive perturbation by a scalar operator. |
| title | Maps on self-adjoint operators preserving some relations related to commutativity |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2402.09227 |