Dual Truncated Hankel Operators: Characterization and Properties
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911209225191424 |
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| author | Chattopadhyay, Arup Jana, Supratim |
| author_facet | Chattopadhyay, Arup Jana, Supratim |
| contents | We introduce the notion of the Dual Truncated Hankel Operator (DTHO) and provide several operator equation characterizations using the dual compressed shift operator. These characterizations are similar to classical results concerning Hankel operators and align with recent findings related to Truncated Hankel Operators (THO) \cite{GM}. Additionally, our work addresses comprehensive solutions to various operator equations encountered in studying THO and the classical Hankel operator. We have also established some fundamental operator-theoretic properties of DTHO that apply to general symbols and symbols under specific conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_12223 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dual Truncated Hankel Operators: Characterization and Properties Chattopadhyay, Arup Jana, Supratim Functional Analysis 47B35 We introduce the notion of the Dual Truncated Hankel Operator (DTHO) and provide several operator equation characterizations using the dual compressed shift operator. These characterizations are similar to classical results concerning Hankel operators and align with recent findings related to Truncated Hankel Operators (THO) \cite{GM}. Additionally, our work addresses comprehensive solutions to various operator equations encountered in studying THO and the classical Hankel operator. We have also established some fundamental operator-theoretic properties of DTHO that apply to general symbols and symbols under specific conditions. |
| title | Dual Truncated Hankel Operators: Characterization and Properties |
| topic | Functional Analysis 47B35 |
| url | https://arxiv.org/abs/2510.12223 |