Factorization of Symplectic Matrices into Elementary Factors

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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2020-05

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en

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8

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Proceedings of the American Mathematical Society, Volume 148, issue 5, pp. 1963-1970

Abstract

We prove that a symplectic matrix with entries in a ring with Bass stable rank one can be factored as a product of elementary symplectic matrices. This also holds for null-homotopic symplectic matrices with entries in a Banach algebra or in the ring of complex valued continuous functions on a finite dimensional normal topological space.

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Ivarsson, B, Kutzschebauch, F & Løw, E 2020, ' Factorization of Symplectic Matrices into Elementary Factors ', Proceedings of the American Mathematical Society, vol. 148, no. 5, pp. 1963-1970 . https://doi.org/10.1090/proc/14891