Functional models for $Γ_n$-contractions
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912797269426176 |
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| author | Mandal, Shubhankar Pal, Avijit Paul, Bhaskar |
| author_facet | Mandal, Shubhankar Pal, Avijit Paul, Bhaskar |
| contents | This article develops several functional models for a given $Γ_n$-contraction. The first model is motivated by the Douglas functional model for a contraction. We then establish factorization results that clarify the relationship between a minimal isometric dilation and an arbitrary isometric dilation of a contraction. Using these factorization results, we obtain a Sz.-Nagy-Foias type functional model for a completely non-unitary $Γ_n$-contraction, as well as Schäffer type functional model for $Γ_n$-contraction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_24353 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Functional models for $Γ_n$-contractions Mandal, Shubhankar Pal, Avijit Paul, Bhaskar Functional Analysis This article develops several functional models for a given $Γ_n$-contraction. The first model is motivated by the Douglas functional model for a contraction. We then establish factorization results that clarify the relationship between a minimal isometric dilation and an arbitrary isometric dilation of a contraction. Using these factorization results, we obtain a Sz.-Nagy-Foias type functional model for a completely non-unitary $Γ_n$-contraction, as well as Schäffer type functional model for $Γ_n$-contraction. |
| title | Functional models for $Γ_n$-contractions |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2512.24353 |