One sided invertibility of matrices over commutative rings, corona problems, and Toeplitz operators with matrix symbols
Functional Analysis
2014-03-26 v1
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 and the Toeplitz operator with scalar symbol . These results are based on one-sided invertibility criteria for rectangular matrices over appropriate commutative rings and related scalar corona type problems.
Keywords
Cite
@article{arxiv.1403.6231,
title = {One sided invertibility of matrices over commutative rings, corona problems, and Toeplitz operators with matrix symbols},
author = {Maria Cristina Câmara and Leiba Rodman and Ilya M. Spitkovsky},
journal= {arXiv preprint arXiv:1403.6231},
year = {2014}
}
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29 pages