Holomorphic semi-almost periodic functions
type: Item
instance of: scholarly article
title: Holomorphic semi-almost periodic functions
zbMATH Open document ID: 1198.30051
author: D. Kinzebulatov
author: Alexander Brudnyi
published in: Integral Equations and Operator Theory
publication date: 2010-08-23T00:00:00Z
review text: The authors study the Banach algebra \(A\) of bounded holomorphic functions on the unit disk whose boundary values belong to the algebra of semi-almost periodic functions on the circle. Related algebras are considered, too. Some specific subjects dealt with are: the approximation property (that is, for every compact set \(K\subseteq A\) and every \(\epsilon>0\) there exists a linear operator \(T:A\to A\) of finite rank so that \(||Tx-x||_A<\epsilon\) for every \(x\in K\)) and the corona property of \(A\).
reviewed by: Raymond Mortini
Mathematics Subject Classification ID: 30H05
Mathematics Subject Classification ID: 46J15
Mathematics Subject Classification ID: 47A58
zbMATH DE Number: 5774252
zbMATH Keywords: approximation property
zbMATH Keywords: semi-almost periodic functions
zbMATH Keywords: maximal ideal space
zbMATH Keywords: bounded analytic functions
zbMATH Keywords: corona-property
MaRDI profile type: Publication
full work available at URL: s00020-010-1750-6
OpenAlex ID: W2058443325
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DOI: 10.1007/S00020-010-1750-6
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description: scientific article; zbMATH DE number 5774252