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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.12908 |
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| _version_ | 1866915195019853824 |
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| author | Piekarz, Dariusz |
| author_facet | Piekarz, Dariusz |
| contents | It is shown that the constant $c_{d,3}$ in von Neumann's inequality for d-tuples of commutative and row contractive $3\times3$ matrices, as proved by Hartz, Richter, and Shalit in [2], is independent of the size of the d-tuple. A numerical estimation of the constant is provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_12908 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The von Neumann inequality for $3\times3$ matrices in the unit Euclidean ball Piekarz, Dariusz Complex Variables It is shown that the constant $c_{d,3}$ in von Neumann's inequality for d-tuples of commutative and row contractive $3\times3$ matrices, as proved by Hartz, Richter, and Shalit in [2], is independent of the size of the d-tuple. A numerical estimation of the constant is provided. |
| title | The von Neumann inequality for $3\times3$ matrices in the unit Euclidean ball |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2310.12908 |