Abstract
We establish concrete rank formulas for a class of finite rank truncated Toeplitz operators on the model spaces \(K^2_u:= H^2 \ominus uH^2\) in terms of their symbol functions. We also establish some rank inequalities for truncated Toeplitz operators on finite dimensional model spaces.
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Communicated by Terhorst, Dmitry, Izchak and Alpay.
The work of the second-named author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT and Future Planning (NRF-2015R1C1A1A01053837) and by the National Institute for Mathematical Sciences (NIMS) (No C21501).
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Gu, C., Kang, DO. Rank of Truncated Toeplitz Operators. Complex Anal. Oper. Theory 11, 825–842 (2017). https://doi.org/10.1007/s11785-016-0571-2
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DOI: https://doi.org/10.1007/s11785-016-0571-2