Fredholmness and invertibility of Toeplitz operators with matrix almost periodic symbols
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- by Leiba Rodman, Ilya M. Spitkovsky and Hugo J. Woerdeman PDF
- Proc. Amer. Math. Soc. 130 (2002), 1365-1370 Request permission
Abstract:
We consider Toeplitz operators with symbols that are almost periodic matrix functions of several variables. It is shown that under certain conditions on the group generated by the Fourier support of the symbol, a Toeplitz operator is Fredholm if and only if it is invertible.References
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Additional Information
- Leiba Rodman
- Affiliation: Department of Mathematics, The College of William and Mary, P.O. Box 8795, Williamsburg, Virginia 23187-8795
- Email: lxrodm@math.wm.edu
- Ilya M. Spitkovsky
- Affiliation: Department of Mathematics, The College of William and Mary, P.O. Box 8795, Williamsburg, Virginia 23187-8795
- MR Author ID: 191035
- ORCID: 0000-0002-1411-3036
- Email: ilya@math.wm.edu
- Hugo J. Woerdeman
- Affiliation: Department of Mathematics, The College of William and Mary, P.O. Box 8795, Williamsburg, Virginia 23187-8795
- MR Author ID: 183930
- Email: hugo@math.wm.edu
- Received by editor(s): October 28, 2000
- Published electronically: September 19, 2001
- Additional Notes: The research of all three authors was partially supported by NSF grant DMS-9988579.
- Communicated by: Joseph A. Ball
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 1365-1370
- MSC (2000): Primary 47B35, 43A60
- DOI: https://doi.org/10.1090/S0002-9939-01-06276-1
- MathSciNet review: 1879958