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arXiv · 1403.6231

One sided invertibility of matrices over commutative rings, corona problems, and Toeplitz operators with matrix symbols

Maria Cristina Câmara·Leiba Rodman·Ilya M. Spitkovsky
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Abstract

Conditions are established under which Fredholmness, Coburn's property and one- or two-sided invertibility are shared by a Toeplitz operator with matrix symbol $G$ and the Toeplitz operator with scalar symbol $\det G$. These results are based on one-sided invertibility criteria for rectangular matrices over appropriate commutative rings and related scalar corona type problems.

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Maria Cristina Câmara, Leiba Rodman, Ilya M. Spitkovsky. 2014-03-25. One sided invertibility of matrices over commutative rings, corona problems, and Toeplitz operators with matrix symbols. https://arxiv.org/abs/1403.6231

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