Approximation by invertible functions of H∞

Artur Nicolau; Daniel Suárez

doi:10.7146/math.scand.a-15013

Approximation by invertible functions of H^∞

Artur Nicolau, Daniel Suárez

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

5 Citations (Scopus)

Abstract

We provide an analytic proof that if H∞ is the algebra of bounded analytic functions on the unit disk, A is a Banach algebra and f : H∞ ∞ → A is a Banach algebras morphism with dense image, then f ((H∞-1) is dense in A-1.

Original language	English
Pages (from-to)	287-319
Journal	Mathematica Scandinavica
Volume	99
Issue number	2
DOIs	https://doi.org/10.7146/math.scand.a-15013
Publication status	Published - 1 Jan 2006

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AB - We provide an analytic proof that if H∞ is the algebra of bounded analytic functions on the unit disk, A is a Banach algebra and f : H∞ ∞ → A is a Banach algebras morphism with dense image, then f ((H∞-1) is dense in A-1.

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Approximation by invertible functions of H∞

Abstract

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Approximation by invertible functions of H^∞