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On the Factorization of Matrices Over Commutative Banach Algebras

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Abstract

Let A be a commutative unital complex Banach algebra and let \(GL_n(A)\) be the group of invertible \(n\times n\) matrices with entries in A. In this paper we study the problem of the representation of matrices in \(GL_n(A)\) by finite products of upper and lower triangular matrices.

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Acknowledgements

I thank the anonymous referee for useful comments.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, 2N 1N4, Canada

    Alexander Brudnyi

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  1. Alexander Brudnyi
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Correspondence to Alexander Brudnyi.

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To the memory of Leiba Rodman

Research supported in part by NSERC.

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Brudnyi, A. On the Factorization of Matrices Over Commutative Banach Algebras. Integr. Equ. Oper. Theory 90, 6 (2018). https://doi.org/10.1007/s00020-018-2436-8

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