(Asymmetric) Dual Truncated Toeplitz Operators

Câmara, M. Cristina; Kliś–Garlicka, Kamila; Ptak, Marek

doi:10.1007/978-3-031-02104-6_13

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2022

2024

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Cited by 2 publications

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“…In [15] we prove that the same is true for MATTO's. For ATTO's the notion of shift invariance was introduced in [6] ( see also [17]). Shift invariance of matrix valued truncated Toeplitz operators is presented in [15].…”

Section: And Only If the Following Holdmentioning

confidence: 99%

Product of matrix valued truncated Toeplitz operators

Khan¹

2022

Hacettepe Journal of Mathematics and Statistics

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Section: And Only If the Following Holdmentioning

confidence: 99%

Product of matrix valued truncated Toeplitz operators

Khan¹

2022

Hacettepe Journal of Mathematics and Statistics

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Paired Kernels and Their Applications

Câmara,

Partington

2024

Results Math

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This paper considers paired operators in the context of the Lebesgue Hilbert space on the unit circle and its subspace, the Hardy space $$H^2$$ H 2 . The kernels of such operators, together with their analytic projections, which are generalizations of Toeplitz kernels, are studied. Results on near-invariance properties, representations, and inclusion relations for these kernels are obtained. The existence of a minimal Toeplitz kernel containing any projected paired kernel and, more generally, any nearly $$S^*$$ S ∗ -invariant subspace of $$H^2$$ H 2 , is derived. The results are applied to describing the kernels of finite-rank asymmetric truncated Toeplitz operators.

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(Asymmetric) Dual Truncated Toeplitz Operators

Cited by 2 publications

References 15 publications

Product of matrix valued truncated Toeplitz operators

Product of matrix valued truncated Toeplitz operators

Paired Kernels and Their Applications

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