Bounds of numerical radius of bounded linear operator using $t$-Aluthge transform
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2019
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| _version_ | 1866914907202519040 |
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| author | bag, Santanu Bhunia, Pintu Paul, Kallol |
| author_facet | bag, Santanu Bhunia, Pintu Paul, Kallol |
| contents | We develop a number of inequalities to obtain bounds for the numerical radius of a bounded linear operator defined on a complex Hilbert space using the properties of $t$-Aluthge transform. We show that the bounds obtained are sharper than the existing bounds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1904_12096 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Bounds of numerical radius of bounded linear operator using $t$-Aluthge transform bag, Santanu Bhunia, Pintu Paul, Kallol Functional Analysis Primary 47A12, 15A60, Secondary 47A30 We develop a number of inequalities to obtain bounds for the numerical radius of a bounded linear operator defined on a complex Hilbert space using the properties of $t$-Aluthge transform. We show that the bounds obtained are sharper than the existing bounds. |
| title | Bounds of numerical radius of bounded linear operator using $t$-Aluthge transform |
| topic | Functional Analysis Primary 47A12, 15A60, Secondary 47A30 |
| url | https://arxiv.org/abs/1904.12096 |