A new seminorm of $n$-tuple operators and its applications
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911029865218048 |
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| author | Bhunia, Pintu Guesba, Messaoud |
| author_facet | Bhunia, Pintu Guesba, Messaoud |
| contents | We introduce a new seminorm of $n$-tuple operators, which generalizes the $A$-Euclidean operator radius of $n$-tuple bounded linear operators on a complex Hilbert space. We introduce and study basic properties of this seminorm. As an application of the present study, we estimate bounds for the $A$-Euclidean operator radius ($A$-joint numerical radius). In addition, we improve on some of the important existing $A$-numerical radius inequalities and related results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_23642 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A new seminorm of $n$-tuple operators and its applications Bhunia, Pintu Guesba, Messaoud Functional Analysis 47A05, 47A12, 47A30, 47A63 We introduce a new seminorm of $n$-tuple operators, which generalizes the $A$-Euclidean operator radius of $n$-tuple bounded linear operators on a complex Hilbert space. We introduce and study basic properties of this seminorm. As an application of the present study, we estimate bounds for the $A$-Euclidean operator radius ($A$-joint numerical radius). In addition, we improve on some of the important existing $A$-numerical radius inequalities and related results. |
| title | A new seminorm of $n$-tuple operators and its applications |
| topic | Functional Analysis 47A05, 47A12, 47A30, 47A63 |
| url | https://arxiv.org/abs/2506.23642 |