On a class of lambda-hyponormal operators
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912523239817216 |
|---|---|
| author | Estaremi, Y. Ghafri, M. S. Al Shamsigamchi, and S. |
| author_facet | Estaremi, Y. Ghafri, M. S. Al Shamsigamchi, and S. |
| contents | In this paper we define $λ$-hyponormal operators on an infinite dimensional Hilbert space $\mathcal{H}$ and find a class of $λ$-hyponormal operators that can not be hypercyclic. Also, we study closedness of range and $λ$-hyponormality of weighted composition operators on the Hilbert space $\mathcal{H}=L^2(μ)$. Moreover, we apply the hypercyclicity results to $λ$-hyponormal weighted composition operators. Finally, we provide some examples to illustrate our main results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_04311 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a class of lambda-hyponormal operators Estaremi, Y. Ghafri, M. S. Al Shamsigamchi, and S. Functional Analysis In this paper we define $λ$-hyponormal operators on an infinite dimensional Hilbert space $\mathcal{H}$ and find a class of $λ$-hyponormal operators that can not be hypercyclic. Also, we study closedness of range and $λ$-hyponormality of weighted composition operators on the Hilbert space $\mathcal{H}=L^2(μ)$. Moreover, we apply the hypercyclicity results to $λ$-hyponormal weighted composition operators. Finally, we provide some examples to illustrate our main results. |
| title | On a class of lambda-hyponormal operators |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2508.04311 |