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arxiv: 1104.4196 · v1 · pith:MPDWGYOQnew · submitted 2011-04-21 · 🧮 math.FA

A Banach Algebraic Version Of The Fundamental Theorem of Algebra

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keywords algebrabanachcomplexalgebraiccoefficientsexistfundamentalinvertible
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For a monic polynomial p(z) with coefficients in a unital complex Banach algebra, we prove that there exist a complex number z such that p(z)is not invertible

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