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On the Factorization of Matrices Over Commutative Banach Algebras

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Let A be a commutative unital complex Banach algebra and let $$GL_n(A)$$GLn(A) be the group of invertible $$n\times n$$n×n matrices with entries in A. In this paper we study the… Click to show full abstract

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

Keywords: matrices commutative; banach algebras; factorization matrices; banach; commutative banach

Journal Title: Integral Equations and Operator Theory
Year Published: 2018

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