Upper bounds of numerical radius and $a$-numerical radius in $\mathcal{C}^*$-algebra setting using Orlicz functions
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916471774380032 |
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| author | Mahapatra, Saikat Birbonshi, Riddhick Patra, Arnab |
| author_facet | Mahapatra, Saikat Birbonshi, Riddhick Patra, Arnab |
| contents | In this paper, several significant upper bounds for the numerical radius and $a$-numerical radius of an element in a $\mathcal{C}^*$-algebra are obtained using Orlicz functions. Many well-known results are obtained from our findings, depending on specific choices of Orlicz functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_04875 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Upper bounds of numerical radius and $a$-numerical radius in $\mathcal{C}^*$-algebra setting using Orlicz functions Mahapatra, Saikat Birbonshi, Riddhick Patra, Arnab Operator Algebras Functional Analysis Mathematics Subject Classification (2010): 46L05, 47A30, 47A12 In this paper, several significant upper bounds for the numerical radius and $a$-numerical radius of an element in a $\mathcal{C}^*$-algebra are obtained using Orlicz functions. Many well-known results are obtained from our findings, depending on specific choices of Orlicz functions. |
| title | Upper bounds of numerical radius and $a$-numerical radius in $\mathcal{C}^*$-algebra setting using Orlicz functions |
| topic | Operator Algebras Functional Analysis Mathematics Subject Classification (2010): 46L05, 47A30, 47A12 |
| url | https://arxiv.org/abs/2411.04875 |