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

Artur Nicolau | Zendy; Daniel Suárez | Zendy

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

Author(s) -

Artur Nicolau,

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 $A^{-1}$.

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