Abstract
Following Beurling’s theorem the natural compressions of the multiplication operator in the classical \(L^2\) space are compressions to model spaces and to their orthogonal complements. Here, two possibly different model spaces are considered, hence asymmetric truncated Toeplitz and asymmetric dual truncated Toeplitz operators are investigated. The main purpose of the paper is to characterize operators which intertwine compressions of the unilateral shift.
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Funding
The work of the first author was partially supported by FCT/Portugal through UID/MAT/04459/2020. The research of the second and the fourth authors was financed by the Ministry of Science and Higher Education of the Republic of Poland.
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Câmara, M.C., Kliś-Garlicka, K., Łanucha, B. et al. Intertwining Property for Compressions of Multiplication Operators. Results Math 77, 140 (2022). https://doi.org/10.1007/s00025-022-01673-w
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DOI: https://doi.org/10.1007/s00025-022-01673-w