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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Finite rank truncated Toeplitz operators via Hankel operators
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by Pan Ma and Dechao Zheng PDF
Proc. Amer. Math. Soc. 147 (2019), 2573-2582 Request permission

Abstract:

In this paper, we give a new proof of the Bessonov theorem [Proc. Amer. Math. Soc. 142 (2014), pp. 1301–1313] on finite rank truncated Toeplitz operators on model spaces via the product of Hankel operators on Hardy space.
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Additional Information
  • Pan Ma
  • Affiliation: School of Mathematics and Statistics, Central South University, Changsha, 410083, People’s Republic of China
  • MR Author ID: 1156539
  • Email: pan.ma@csu.edu.cn
  • Dechao Zheng
  • Affiliation: Center of Mathematics, Chongqing University, Chongqing, 401331, People’s Republic of China—and—Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240
  • MR Author ID: 229147
  • Email: dechao.zheng@vanderbilt.edu
  • Received by editor(s): September 3, 2018
  • Received by editor(s) in revised form: September 19, 2018
  • Published electronically: February 6, 2019
  • Additional Notes: The first author was partially supported by the National Natural Science Foundation of China (Grant No. 11801572) and the research startup foundations of Central South University(502044005).
    The second author was partially supported by the National Natural Science Foundation of China (Grant No. 11531003).
  • Communicated by: Stephan Ramon Garcia
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 2573-2582
  • MSC (2010): Primary 47B35
  • DOI: https://doi.org/10.1090/proc/14399
  • MathSciNet review: 3951433