Factorization in $SL_n(R)$ with elementary matrices when $R$ is the disk algebra and the Wiener algebra

Amol Sasane

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arXiv · 1405.5006

Factorization in $SL_n(R)$ with elementary matrices when $R$ is the disk algebra and the Wiener algebra

Amol Sasane

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Abstract

Let $R$ be the polydisc algebra or the Wiener algebra. It is shown that the group $SL_n(R)$ is generated by the subgroup of elementary matrices with all diagonal entries $1$ 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).

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BibTeX RIS

Amol Sasane. 2014-05-20. Factorization in $SL_n(R)$ with elementary matrices when $R$ is the disk algebra and the Wiener algebra. https://arxiv.org/abs/1405.5006

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