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A note about stabilization in Aℝ(𝔻)
Authors:Brett D Wick
Abstract:It is shown that for A?(??) functions f1 and f2 with equation image and f1 being positive on real zeros of f2 then there exists A?(??) functions g2 and g1, g1–1 with and equation image This result is connected to the computation of the stable rank of the algebra A?(??) and to Control Theory (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:Banach algebras  control theory  corona theorem  stable rank
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