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arXiv · 2203.09265

Shift invariance and reflexivity of compressions of multiplication operators

M. Cristina Câmara·Kamila Kliś-Garlicka·Bartosz Łanucha·Marek Ptak
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Abstract

The property of being shift invariant and being reflexive or transitive in the case of the space of (asymmetric) truncated Toeplitz operators, and the space of (asymmetric) dual truncated operators is investigated. Most of the results obtained are new even for the symmetric case. A characterization of asymmetric dual truncated Toeplitz operators is also given.

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M. Cristina Câmara, Kamila Kliś-Garlicka, Bartosz Łanucha, Marek Ptak. 2022-03-17. Shift invariance and reflexivity of compressions of multiplication operators. https://arxiv.org/abs/2203.09265

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