Invariant subspaces and the $C_{00}$-property of Brownian Shifts
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909707604590592 |
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| author | Das, Nilanjan Das, Soma Sarkar, Jaydeb |
| author_facet | Das, Nilanjan Das, Soma Sarkar, Jaydeb |
| contents | We consider the restriction of Brownian shifts to their invariant subspaces and classify when they are unitarily equivalent. Additionally, we prove an asymptotic property stating that normalized Brownian shifts belong to the classical $C_{00}$-class. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_21015 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Invariant subspaces and the $C_{00}$-property of Brownian Shifts Das, Nilanjan Das, Soma Sarkar, Jaydeb Probability Complex Variables Functional Analysis Operator Algebras 46J15, 30H10, 30J05, 60J65, 47B35 We consider the restriction of Brownian shifts to their invariant subspaces and classify when they are unitarily equivalent. Additionally, we prove an asymptotic property stating that normalized Brownian shifts belong to the classical $C_{00}$-class. |
| title | Invariant subspaces and the $C_{00}$-property of Brownian Shifts |
| topic | Probability Complex Variables Functional Analysis Operator Algebras 46J15, 30H10, 30J05, 60J65, 47B35 |
| url | https://arxiv.org/abs/2502.21015 |