Orthogonality and Numerical radius inequalities of operator matrices
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866929454390968320 |
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| author | Mal, Arpita Paul, Kallol Sen, Jeet |
| author_facet | Mal, Arpita Paul, Kallol Sen, Jeet |
| contents | We completely characterize Birkhoff-James orthogonality with respect to numerical radius norm in the space of bounded linear operators on a complex Hilbert space. As applications of the results obtained, we estimate lower bounds of numerical radius for $n\times n$ operator matrices, which improve on and generalize existing lower bounds. We also obtain a better lower bound of numerical radius for an upper triangular operator matrix. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1903_06858 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Orthogonality and Numerical radius inequalities of operator matrices Mal, Arpita Paul, Kallol Sen, Jeet Functional Analysis Primary 47A12, 15A60, Secondary 47L05 We completely characterize Birkhoff-James orthogonality with respect to numerical radius norm in the space of bounded linear operators on a complex Hilbert space. As applications of the results obtained, we estimate lower bounds of numerical radius for $n\times n$ operator matrices, which improve on and generalize existing lower bounds. We also obtain a better lower bound of numerical radius for an upper triangular operator matrix. |
| title | Orthogonality and Numerical radius inequalities of operator matrices |
| topic | Functional Analysis Primary 47A12, 15A60, Secondary 47L05 |
| url | https://arxiv.org/abs/1903.06858 |