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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.06978 |
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| _version_ | 1866917401040257024 |
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| author | Dey, Soumyadip Gupta, Rajeev Kumar, Surjit |
| author_facet | Dey, Soumyadip Gupta, Rajeev Kumar, Surjit |
| contents | In this article, we investigate the ball version of von Neumann inequality for the class of doubly contractive $d$-tuple of weighted shift. We show that if the weighted shift is balanced or satisfies an appropriate weight condition, then it admits a spherical unitary dilation. Consequently, such tuples satisfy the von Neumann inequality over Euclidean unit ball. For the general class of commuting tuple of doubly contractive operators (not necessarily weighted shift) on a Hilbert space, we further establish von Neumann inequality for homogeneous polynomials of degree at most $2.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_06978 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | von Neumann Inequality for a class of Doubly Contractive Weighted Shifts Dey, Soumyadip Gupta, Rajeev Kumar, Surjit Functional Analysis 47B37, 47A20, 47A13 In this article, we investigate the ball version of von Neumann inequality for the class of doubly contractive $d$-tuple of weighted shift. We show that if the weighted shift is balanced or satisfies an appropriate weight condition, then it admits a spherical unitary dilation. Consequently, such tuples satisfy the von Neumann inequality over Euclidean unit ball. For the general class of commuting tuple of doubly contractive operators (not necessarily weighted shift) on a Hilbert space, we further establish von Neumann inequality for homogeneous polynomials of degree at most $2.$ |
| title | von Neumann Inequality for a class of Doubly Contractive Weighted Shifts |
| topic | Functional Analysis 47B37, 47A20, 47A13 |
| url | https://arxiv.org/abs/2604.06978 |