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Fredholmness and invertibility of Toeplitz operators with matrix almost periodic symbols |
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| Authors: | Leiba Rodman Ilya M. Spitkovsky Hugo J. Woerdeman |
| Affiliation: | Department of Mathematics, The College of William and Mary, P.O. Box 8795, Williamsburg, Virginia 23187-8795 ; Department of Mathematics, The College of William and Mary, P.O. Box 8795, Williamsburg, Virginia 23187-8795 ; Department of Mathematics, The College of William and Mary, P.O. Box 8795, Williamsburg, Virginia 23187-8795 |
| 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. |
| Keywords: | Almost periodic functions Toeplitz operators Fredholmness |
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