Integral Numerical Radius and Operator Matrix Bounds
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866917275759542272 |
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| author | Sheybani, Shiva Moradi, Hamid Reza Sababheh, Mohammad |
| author_facet | Sheybani, Shiva Moradi, Hamid Reza Sababheh, Mohammad |
| contents | We establish new integral inequalities for the numerical radius and the operator norm of bounded linear operators on Hilbert spaces. Our results refine classical triangle-type and operator matrix inequalities by incorporating convex combinations and integral averaging techniques. Several consequences, including new identities, sharper bounds, and equality conditions, are obtained, revealing deeper structural connections between the numerical radius and operator norm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_14460 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Integral Numerical Radius and Operator Matrix Bounds Sheybani, Shiva Moradi, Hamid Reza Sababheh, Mohammad Functional Analysis We establish new integral inequalities for the numerical radius and the operator norm of bounded linear operators on Hilbert spaces. Our results refine classical triangle-type and operator matrix inequalities by incorporating convex combinations and integral averaging techniques. Several consequences, including new identities, sharper bounds, and equality conditions, are obtained, revealing deeper structural connections between the numerical radius and operator norm. |
| title | Integral Numerical Radius and Operator Matrix Bounds |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2602.14460 |