Shift invariance and reflexivity of compressions of multiplication operators
Functional Analysis
2022-03-18 v1
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.
Keywords
Cite
@article{arxiv.2203.09265,
title = {Shift invariance and reflexivity of compressions of multiplication operators},
author = {M. Cristina Câmara and Kamila Kliś-Garlicka and Bartosz Łanucha and Marek Ptak},
journal= {arXiv preprint arXiv:2203.09265},
year = {2022}
}