The strong closure of \(\sigma\)-complete Boolean algebras of projections
type: Item
instance of: scholarly article
title: The strong closure of \(\sigma\)-complete Boolean algebras of projections
zbMATH Open document ID: 1011.47015
author: Werner J. Ricker
published in: Archiv der Mathematik
publication date: 1999-06-28T00:00:00Z
review text: The author extends a result of \textit{T. A. Gillespie} [Glasg. Math. J. 22, 73-75 (1981; Zbl 0455.47024)] that the strong operator closure of any \(\sigma\)-complete Boolean algebra of projections on a Banach space that does not contain a copy of \(c_0\) is Bade complete [see \textit{W. G. Bade}, Trans. Am. Math. Soc. 80, 345-360 (1955; Zbl 0066.36202)].
Mathematics Subject Classification ID: 47B15
Mathematics Subject Classification ID: 47D99
Mathematics Subject Classification ID: 47B40
zbMATH DE Number: 1309644
zbMATH Keywords: strong operator closure
zbMATH Keywords: Boolean algebra of projections
reviewed by: Vladimir V. Peller
MaRDI profile type: Publication
full work available at URL: s000130050333
OpenAlex ID: W1982480212
DOI: 10.1007/S000130050333
description: scientific article; zbMATH DE number 1309644