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Yufei Li,
Yixin Yang,
and Yufeng Lu
Reducibility and unitary equivalence for a class of truncated Toeplitz operators on model spaces
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| Published: |
October 14, 2018. |
| Keywords: |
Reducing subspace, truncated Toeplitz operator, model space, unitary equivalence. |
| Subject: |
Primary 47B35, 47A15; Secondary 47B38. |
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Abstract
We give a necessary and sufficient condition for the reducibility
of a truncated Toeplitz operator on model spaces induced by a Blaschke product
with two zeros. If the truncated Toeplitz operator is reducible, its restriction on a non-trivial reducing subspace is unitarily equivalent to another truncated Toeplitz operator induced by z.
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| Acknowledgements
This research is supported by NSFC (No. 11671065, 11601058).
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| Author information
Yufei Li:
School of Mathematical Sciences
Dalian University of Technology
Dalian, Liaoning 116024, China.
liyf495@mail.dlut.edu.cn
Yixin Yang:
School of Mathematical Sciences
Dalian University of Technology
Dalian, Liaoning 116024, China.
yangyixin@dlut.edu.cn
Yufeng Lu:
School of Mathematical Sciences
Dalian University of Technology
Dalian, Liaoning 116024, China.
lyfdlut@dlut.edu.cn
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