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Stable Rank and the -Equation

Published online by Cambridge University Press:  20 November 2018

Rudolf Rupp
Rudolf Rupp*
Affiliation:
Universität Karlsruhe Mathematisches Institut I Englerstr. 2 D-7500 Karlsruhe 1
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Abstract

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Let G denote a plane domain bounded by finitely many closed, non-intersecting Jordan curves. We show the following refinement of the stable rank one property of : Suppose that for there exists δ > 0 such that . Then there exist such that

f + hg = exp (k).

Also we obtain a partial result for the algebra H∞(G).

Keywords

46J1530D5046L99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 1 , 01 March 1991 , pp. 113 - 118
Copyright
Copyright © Canadian Mathematical Society 1991

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