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Michal Jasiczak
Toeplitz operators on the space of all entire functions
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| Published: |
July 14, 2020. |
| Keywords: |
Toeplitz operator, entire function, Fredholm, semi-Fredholm, one-sided invertible, Cauchy transform. |
| Subject: |
Primary 47B35, Secondary 30D99, 47G10, 47A05, 47A53. |
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Abstract
We introduce and characterize the class of Toeplitz operators on the Fréchet space of all entire functions. We completely describe Fredholm, semi-Fredholm, invertible and one-sided invertible operators in this class.
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| Acknowledgements
The research was supported by National Center of Science (Poland), grant no. UMO-2013/10/A/ST1/00091.
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| Author information
Michal Jasiczak:
Faculty of Mathematics and Computer Science
Adam Mickiewicz University
ul. Uniwersytetu Poznańskiego 4
61-614 Poznań, Poland
mjk@amu.edu.pl
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