Truncated Toeplitz operators of finite rank
Author:
R. V. Bessonov
Journal:
Proc. Amer. Math. Soc. 142 (2014), 1301-1313
MSC (2010):
Primary 47B35
DOI:
https://doi.org/10.1090/S0002-9939-2014-11861-2
Published electronically:
January 28, 2014
MathSciNet review:
3162251
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We give a complete description of the finite-rank truncated Toeplitz operators.
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Additional Information
R. V. Bessonov
Affiliation:
St. Petersburg Department of Steklov Mathematical Institute of the Russian Academy of Sciences, Fontanka 27, St. Petersburg, 191023, Russia
Address at time of publication:
Chebyshev Laboratory, St. Petersburg State University, 14th Line, 29b, St. Petersburg, 199178, Russia
Email:
bessonov@pdmi.ras.ru
Keywords:
Toeplitz operators,
model subspaces,
finite-rank
Received by editor(s):
February 6, 2012
Received by editor(s) in revised form:
May 14, 2012
Published electronically:
January 28, 2014
Additional Notes:
This work was partially supported by RFBR grant 11-01-00584-a, by V. A. Rokhlin grant 2012, and by the Chebyshev Laboratory (Department of Mathematics and Mechanics, St. Petersburg State University) under RF Government grant 11.G34.31.0026
Communicated by:
Richard Rochberg
Article copyright:
© Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.