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A note on the spectral area of Toeplitz operators


Authors: Cheng Chu and Dmitry Khavinson
Journal: Proc. Amer. Math. Soc. 144 (2016), 2533-2537
MSC (2010): Primary 30J99, 47B35
DOI: https://doi.org/10.1090/proc/12900
Published electronically: October 20, 2015
MathSciNet review: 3477069
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Abstract: In this note, we show that for hyponormal Toeplitz operators, there exists a lower bound for the area of the spectrum. This extends the known estimate for the spectral area of Toeplitz operators with an analytic symbol.


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Additional Information

Cheng Chu
Affiliation: Department of Mathematics, Washington University in Saint Louis, Saint Louis, Missouri
Email: chengchu@math.wustl.edu

Dmitry Khavinson
Affiliation: Department of Mathematics, University of South Florida, Tampa, Florida
Email: dkhavins@usf.edu

DOI: https://doi.org/10.1090/proc/12900
Received by editor(s): March 23, 2015
Received by editor(s) in revised form: July 13, 2015
Published electronically: October 20, 2015
Communicated by: Pamela Gorkin
Article copyright: © Copyright 2015 American Mathematical Society