Weak-star continuous homomorphisms and a decomposition of orthogonal measures
type: Item
instance of: scholarly article
title: Weak-star continuous homomorphisms and a decomposition of orthogonal measures
zbMATH Open document ID: 0546.46042
publication date: 1985-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74663
review text: We consider the set \(S(\mu)\) of complex-valued homomorphisms of a uniform algebra A which are weak-star continuous with respect to a fixed measure \(\mu\). The \(\mu\)-parts of \(S(\mu)\) are defined, and a decomposition theorem for measures in \(A^{\perp}\cap L^ 1(\mu)\) is obtained, in which constituent summands are mutually absolutely continuous with respect to representing measures. The set \(S(\mu)\) is studied for T-invariant algebras on compact subsets of the complex plane and also for the infinite polydisc algebra.
Mathematics Subject Classification ID: 46J10
Mathematics Subject Classification ID: 28A12
Mathematics Subject Classification ID: 28A33
zbMATH DE Number: 3870016
zbMATH Keywords: uniform algebra
zbMATH Keywords: T-invariant algebras
zbMATH Keywords: infinite polydisc algebra
author: Brian J. Cole
author: T. W. Gamelin
MaRDI profile type: Publication
OpenAlex ID: W2334150738
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DOI: 10.5802/AIF.1004
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 3870016