Improvement of $A$-numerical radius inequalities of semi-Hilbertian space operators
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2020
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917746902564864 |
|---|---|
| author | Bhunia, Pintu Nayak, Raj Kumar Paul, Kallol |
| author_facet | Bhunia, Pintu Nayak, Raj Kumar Paul, Kallol |
| contents | Let $\mathcal{H}$ be a complex Hilbert space and let $A$ be a positive operator on $\mathcal{H}$. We obtain new bounds for the $A$-numerical radius of operators in semi-Hilbertian space $\mathcal{B}_A(\mathcal{H})$ that generalize and improve on the existing ones. Further, we estimate bounds for the $B$-operator seminorm and $B$-numerical radius of $2\times 2$ operator matrices, where $B=\mbox{diag}(A,A)$. The bounds obtained here improve on the existing ones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2008_10840 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Improvement of $A$-numerical radius inequalities of semi-Hilbertian space operators Bhunia, Pintu Nayak, Raj Kumar Paul, Kallol Functional Analysis Primary 47A12, Secondary 47A30, 47A63 Let $\mathcal{H}$ be a complex Hilbert space and let $A$ be a positive operator on $\mathcal{H}$. We obtain new bounds for the $A$-numerical radius of operators in semi-Hilbertian space $\mathcal{B}_A(\mathcal{H})$ that generalize and improve on the existing ones. Further, we estimate bounds for the $B$-operator seminorm and $B$-numerical radius of $2\times 2$ operator matrices, where $B=\mbox{diag}(A,A)$. The bounds obtained here improve on the existing ones. |
| title | Improvement of $A$-numerical radius inequalities of semi-Hilbertian space operators |
| topic | Functional Analysis Primary 47A12, Secondary 47A30, 47A63 |
| url | https://arxiv.org/abs/2008.10840 |