On the estimation of the $q$-numerical radius via Orlicz functions
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_ | 1866913812301479936 |
|---|---|
| author | Kittaneh, Fuad Patra, Arnab Rani, Jyoti |
| author_facet | Kittaneh, Fuad Patra, Arnab Rani, Jyoti |
| contents | This study utilizes Orlicz functions to provide refined lower and upper bounds on the q-numerical radius of an operator acting on a Hilbert space. Additionally, the concept of q-sectorial matrices is introduced and further bounds for the q-numerical radius are established. Our results unify several existing bounds for the q-numerical radius. Suitable examples are provided to supplement the estimations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_20748 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the estimation of the $q$-numerical radius via Orlicz functions Kittaneh, Fuad Patra, Arnab Rani, Jyoti Functional Analysis 47A10, 47A12 (Primary) 47A30, 46E30, 15A60 (Secondary) This study utilizes Orlicz functions to provide refined lower and upper bounds on the q-numerical radius of an operator acting on a Hilbert space. Additionally, the concept of q-sectorial matrices is introduced and further bounds for the q-numerical radius are established. Our results unify several existing bounds for the q-numerical radius. Suitable examples are provided to supplement the estimations. |
| title | On the estimation of the $q$-numerical radius via Orlicz functions |
| topic | Functional Analysis 47A10, 47A12 (Primary) 47A30, 46E30, 15A60 (Secondary) |
| url | https://arxiv.org/abs/2504.20748 |