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

Maria Cristina Câmara, Leiba Rodman, Ilya M. Spitkovsky

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…