Product of Matrix Valued Truncated Toeplitz Operators
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arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866910296456560640 |
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| author | Khan, Muhammad Ahsan |
| author_facet | Khan, Muhammad Ahsan |
| contents | Let $A_Φ$ be a matrix valued truncated Toeplitz operator-the compression of multiplication operator to vector-valued model space $H^2(E)\ominus ΘH^2(E)$, where $Θ$ is a matrix valued non constant inner function. Under supplementary assumptions, we find necessary and sufficient condition that the product $A_ΦA_Ψ$ is itself a matrix valued truncated Toeplitz operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_05279 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Product of Matrix Valued Truncated Toeplitz Operators Khan, Muhammad Ahsan Functional Analysis Quantum Algebra Let $A_Φ$ be a matrix valued truncated Toeplitz operator-the compression of multiplication operator to vector-valued model space $H^2(E)\ominus ΘH^2(E)$, where $Θ$ is a matrix valued non constant inner function. Under supplementary assumptions, we find necessary and sufficient condition that the product $A_ΦA_Ψ$ is itself a matrix valued truncated Toeplitz operator. |
| title | Product of Matrix Valued Truncated Toeplitz Operators |
| topic | Functional Analysis Quantum Algebra |
| url | https://arxiv.org/abs/2012.05279 |