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A note about stabilization in Aℝ()

✍ Scribed by Brett D. Wick

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
94 KB
Volume
282
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

It is shown that for A~ℝ~(𝔻) functions f~1~ and f~2~ with
equation image
and f~1~ being positive on real zeros of f~2~ then there exists A~ℝ~(𝔻) functions g~2~ and g~1~, g~1~^–1^ with and
equation image
This result is connected to the computation of the stable rank of the algebra A~ℝ~(𝔻) and to Control Theory (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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