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One sided invertibility of matrices over commutative rings, corona problems, and Toeplitz operators with matrix symbols by Câmara, Maria Cristina; Rodman, Leiba; Spitkovsky, Ilya M. is a scholarly article available to read on EtoBox.

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

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.

Author

Câmara, Maria Cristina; Rodman, Leiba; Spitkovsky, Ilya M.

Published

2014

Language

EN