On inequalities for A-numerical radius of operators
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2019
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916351540461568 |
|---|---|
| author | Bhunia, Pintu Paul, Kallol Nayak, Raj Kumar |
| author_facet | Bhunia, Pintu Paul, Kallol Nayak, Raj Kumar |
| contents | Let $A$ be a positive operator on a complex Hilbert space $\mathcal{H}.$ We present inequalities concerning upper and lower bounds for $A$-numerical radius of operators, which improve on and generalize the existing ones, studied recently in [A. Zamani, A-Numerical radius inequalities for semi-Hilbertian space operators, Linear Algebra Appl. 578 (2019) 159-183]. We also obtain some inequalities for $B$-numerical radius of $2\times 2$ operator matrices where $B$ is the $2\times 2$ diagonal operator matrix whose diagonal entries are $A$. Further we obtain upper bounds for $A$-numerical radius for product of operators which improve on the existing bounds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1908_11182 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | On inequalities for A-numerical radius of operators Bhunia, Pintu Paul, Kallol Nayak, Raj Kumar Functional Analysis Primary 47A12, Secondary 47A30, 47A63 Let $A$ be a positive operator on a complex Hilbert space $\mathcal{H}.$ We present inequalities concerning upper and lower bounds for $A$-numerical radius of operators, which improve on and generalize the existing ones, studied recently in [A. Zamani, A-Numerical radius inequalities for semi-Hilbertian space operators, Linear Algebra Appl. 578 (2019) 159-183]. We also obtain some inequalities for $B$-numerical radius of $2\times 2$ operator matrices where $B$ is the $2\times 2$ diagonal operator matrix whose diagonal entries are $A$. Further we obtain upper bounds for $A$-numerical radius for product of operators which improve on the existing bounds. |
| title | On inequalities for A-numerical radius of operators |
| topic | Functional Analysis Primary 47A12, Secondary 47A30, 47A63 |
| url | https://arxiv.org/abs/1908.11182 |