Numerical radius inequalities of operator matrices from a new norm on $\mathcal{B}(\mathcal{H})$
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| Main Authors: | , , , |
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| Format: | Preprint |
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2020
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| _version_ | 1866909285268586496 |
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| author | Bhunia, P. Bhanja, A. Sain, D. Paul, K. |
| author_facet | Bhunia, P. Bhanja, A. Sain, D. Paul, K. |
| contents | This paper is a continuation of a recent work on a new norm, christened the $ (α, β)$-norm, on the space of bounded linear operators on a Hilbert space. We obtain some upper bounds for the said norm of $n\times n$ operator matrices. As an application of the present study, we estimate bounds for the numerical radius and the usual operator norm of $n\times n$ operator matrices, which generalize the existing ones. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2008_13708 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Numerical radius inequalities of operator matrices from a new norm on $\mathcal{B}(\mathcal{H})$ Bhunia, P. Bhanja, A. Sain, D. Paul, K. Functional Analysis 47A30, 47A12 This paper is a continuation of a recent work on a new norm, christened the $ (α, β)$-norm, on the space of bounded linear operators on a Hilbert space. We obtain some upper bounds for the said norm of $n\times n$ operator matrices. As an application of the present study, we estimate bounds for the numerical radius and the usual operator norm of $n\times n$ operator matrices, which generalize the existing ones. |
| title | Numerical radius inequalities of operator matrices from a new norm on $\mathcal{B}(\mathcal{H})$ |
| topic | Functional Analysis 47A30, 47A12 |
| url | https://arxiv.org/abs/2008.13708 |