Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.24353 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912797269426176 |
|---|---|
| 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 |