Norm of an operator with numerical range in a sector
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910622372855808 |
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| author | Li, Chi-Kwong Wang, Kuo-Zhong |
| author_facet | Li, Chi-Kwong Wang, Kuo-Zhong |
| contents | We refine a recent result of Drury concerning the optimal ratio between the norm and numerical radius of a bounded linear operator $T$ with numerical range lying in a sector of a circular disk. In particular, characterization is given to the operators attaining the optimal ratio, and properties of such operators are explored. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18135 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Norm of an operator with numerical range in a sector Li, Chi-Kwong Wang, Kuo-Zhong Functional Analysis 15A60, 47A12 We refine a recent result of Drury concerning the optimal ratio between the norm and numerical radius of a bounded linear operator $T$ with numerical range lying in a sector of a circular disk. In particular, characterization is given to the operators attaining the optimal ratio, and properties of such operators are explored. |
| title | Norm of an operator with numerical range in a sector |
| topic | Functional Analysis 15A60, 47A12 |
| url | https://arxiv.org/abs/2409.18135 |