On inequalities involving the spherical operator transforms
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909559545659392 |
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| author | Kittaneh, Fuad Sahoo, Satyajit Stanković, Hranislav |
| author_facet | Kittaneh, Fuad Sahoo, Satyajit Stanković, Hranislav |
| contents | This paper explores refinements of some operator norm inequalities through the generalized spherical Aluthge transform and the spherical Heinz transform. We introduce the spherical Schatten $p$-norm for operator tuples and establish several related inequalities. Additionally, equality conditions for some of these inequalities are also presented. Furthermore, we define the (joint) Schatten $p$-numerical radius and the Schatten hypo-$p$-norm for operator tuples, deriving some fundamental inequalities in this setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_24015 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On inequalities involving the spherical operator transforms Kittaneh, Fuad Sahoo, Satyajit Stanković, Hranislav Functional Analysis 47A13, 47A30, 47B10, 47B65 This paper explores refinements of some operator norm inequalities through the generalized spherical Aluthge transform and the spherical Heinz transform. We introduce the spherical Schatten $p$-norm for operator tuples and establish several related inequalities. Additionally, equality conditions for some of these inequalities are also presented. Furthermore, we define the (joint) Schatten $p$-numerical radius and the Schatten hypo-$p$-norm for operator tuples, deriving some fundamental inequalities in this setting. |
| title | On inequalities involving the spherical operator transforms |
| topic | Functional Analysis 47A13, 47A30, 47B10, 47B65 |
| url | https://arxiv.org/abs/2503.24015 |