A class of Banach algebras whose duals have the Radon-Nikodym property
type: Item
instance of: scholarly article
title: A class of Banach algebras whose duals have the Radon-Nikodym property
zbMATH Open document ID: 1107.43003
author: N. E. Zubov
published in: Archiv der Mathematik
publication date: 2006-12-06T00:00:00Z
review text: The author studies the question when the dual space to a commutative Banach algebra has the Radon-Nikodým property. The main result is that if \(A\) is such a unital algebra, then \(A^*\) has the Radon-Nikodým property if and only if \(A^*\) is the closed linear span of the complex homomorphisms.
reviewed by: Vladimir V. Peller
Mathematics Subject Classification ID: 43A20
Mathematics Subject Classification ID: 43A22
Mathematics Subject Classification ID: 43A60
Mathematics Subject Classification ID: 46J05
zbMATH DE Number: 5077608
zbMATH Keywords: commutative Banach algebra
zbMATH Keywords: Radon-Nikodým property
MaRDI profile type: Publication
full work available at URL: s00013-006-1753-3
OpenAlex ID: W2021515368
DOI: 10.1007/S00013-006-1753-3
description: scientific article; zbMATH DE number 5077608