Some improvements of numerical radius inequalities of operators and operator matrices
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arXiv
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866909282951233536 |
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| author | Bhunia, Pintu Paul, Kallol |
| author_facet | Bhunia, Pintu Paul, Kallol |
| contents | We obtain upper bounds for the numerical radius of a product of Hilbert space operators which improve on the existing upper bounds. We generalize the numerical radius inequalities of $n\times n$ operator matrices by using non-negative continuous functions on $[0,\infty)$. We also obtain some upper and lower bounds for the $B$-numerical radius of operator matrices, where $B$ is the diagonal operator matrix whose each diagonal entry is a positive operator $A.$ We show that these bounds generalize and improve on the existing bounds. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1910_06775 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Some improvements of numerical radius inequalities of operators and operator matrices Bhunia, Pintu Paul, Kallol Functional Analysis Primary 47A12, Secondary 47A05, 46C05 We obtain upper bounds for the numerical radius of a product of Hilbert space operators which improve on the existing upper bounds. We generalize the numerical radius inequalities of $n\times n$ operator matrices by using non-negative continuous functions on $[0,\infty)$. We also obtain some upper and lower bounds for the $B$-numerical radius of operator matrices, where $B$ is the diagonal operator matrix whose each diagonal entry is a positive operator $A.$ We show that these bounds generalize and improve on the existing bounds. |
| title | Some improvements of numerical radius inequalities of operators and operator matrices |
| topic | Functional Analysis Primary 47A12, Secondary 47A05, 46C05 |
| url | https://arxiv.org/abs/1910.06775 |