Approximation by invertible functions of $H^{\infty}$

• Autores: Artur Nicolau Nos , Daniel Suárez
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 99, Nº 2, 2006, págs. 287-319
• Idioma: inglés
• DOI: 10.7146/math.scand.a-15013
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• Resumen

  • We provide an analytic proof that if $H^\infty$ is the algebra of bounded analytic functions on the unit disk, $A$ is a Banach algebra and $f: H^\infty \rightarrow A$ is a Banach algebras morphism with dense image, then $f((H^\infty)^{-1})$ is dense in $A^{-1}$.