Open AccessApproximation by invertible functions of $H^{\infty}$
Author(s) -
Artur Nicolau,
Fernando Daniel Suárez
Publication year - 2006
Publication title -
mathematica scandinavica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.553
H-Index - 30
eISSN - 1903-1807
pISSN - 0025-5521
DOI - 10.7146/math.scand.a-15013
Subject(s) - mathematics , invertible matrix , morphism , bounded function , banach algebra , pure mathematics , analytic function , unit (ring theory) , unit disk , algebra over a field , image (mathematics) , banach space , discrete mathematics , mathematical analysis , mathematics education , artificial intelligence , computer science
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 $A^{-1}$.