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A note about stabilization in A ℝ (𝔻)
Author(s) -
Wick Brett D.
Publication year - 2009
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200610779
Subject(s) - mathematics , rank (graph theory) , bar (unit) , combinatorics , computation , algebra over a field , pure mathematics , physics , algorithm , meteorology
It is shown that for A ℝ () functions f 1 and f 2 withand f 1 being positive on real zeros of f 2 then there exists A ℝ () functions g 2 and g 1 , g 1 –1 with andThis result is connected to the computation of the stable rank of the algebra A ℝ () and to Control Theory (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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