Factorization in $SL_n(R)$ with elementary matrices when $R$ is the disk algebra and the Wiener algebra
Commutative Algebra
2014-05-21 v1 Complex Variables
Functional Analysis
Abstract
Let be the polydisc algebra or the Wiener algebra. It is shown that the group is generated by the subgroup of elementary matrices with all diagonal entries and at most one nonzero off-diagonal entry. The result an easy consequence of the deep result due to Ivarsson and Kutzschebauch (Ann. of Math. 2012).
Cite
@article{arxiv.1405.5006,
title = {Factorization in $SL_n(R)$ with elementary matrices when $R$ is the disk algebra and the Wiener algebra},
author = {Amol Sasane},
journal= {arXiv preprint arXiv:1405.5006},
year = {2014}
}
Comments
5 pages