Partially isometric truncated and dual truncated Toeplitz operators
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866914584636424192 |
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| author | Babbar, Kritika Javed, Mo Maji, Amit |
| author_facet | Babbar, Kritika Javed, Mo Maji, Amit |
| contents | Let $θ$ be a non-constant inner function and let $ϕ=\overline{u}v$, where $u$ and $v$ are inner functions such that $v$ divides $θ$. In this paper we characterize the partially isometric truncated Toeplitz operators $A_ϕ$ and dual truncated Toeplitz operators $D_ϕ$ with symbols of the form $ϕ=\overline{u}v$. Along with that, we obtain a few more characterization results, including the space of extremal vectors for non-zero partially isometric truncated and dual truncated Toeplitz operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_21555 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Partially isometric truncated and dual truncated Toeplitz operators Babbar, Kritika Javed, Mo Maji, Amit Functional Analysis Complex Variables Operator Algebras 47B35, 47A05, 30J05 Let $θ$ be a non-constant inner function and let $ϕ=\overline{u}v$, where $u$ and $v$ are inner functions such that $v$ divides $θ$. In this paper we characterize the partially isometric truncated Toeplitz operators $A_ϕ$ and dual truncated Toeplitz operators $D_ϕ$ with symbols of the form $ϕ=\overline{u}v$. Along with that, we obtain a few more characterization results, including the space of extremal vectors for non-zero partially isometric truncated and dual truncated Toeplitz operators. |
| title | Partially isometric truncated and dual truncated Toeplitz operators |
| topic | Functional Analysis Complex Variables Operator Algebras 47B35, 47A05, 30J05 |
| url | https://arxiv.org/abs/2605.21555 |