The central kernel of the Peirce-one space
type: Item
instance of: scholarly article
title: The central kernel of the Peirce-one space
zbMATH Open document ID: 1069.46037
author: C. M. Edwards
author: Christopher S. Hoskin
published in: Archiv der Mathematik
publication date: 2004-03-07T00:00:00Z
review text: Any weak*-closed inner ideal of a JBW*-triple \(A\) enjoys the generalized Peirce decomposition \(A=J_0\oplus J_1\oplus J_2\), where \(J_2=J\) and \(J_0\) (the annihilator of \(J)\) are weak*-closed inner ideals of \(A\), and \(J_1\) is a weak*-closed subspace of \(A\), but it is not, in general, even a subtriple of \(A\). The main result of the paper proves that, in fact, \(J_1\) does not contain non-zero weak*-closed ideals of \(A\).
Mathematics Subject Classification ID: 46L70
Mathematics Subject Classification ID: 17C65
zbMATH DE Number: 2051619
zbMATH Keywords: JBW*-triple
zbMATH Keywords: weak*-closed
zbMATH Keywords: inner ideal
zbMATH Keywords: Peirce decomposition
MaRDI profile type: Publication
full work available at URL: s00013-003-0546-1
OpenAlex ID: W1976943413
DOI: 10.1007/S00013-003-0546-1
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description: scientific article; zbMATH DE number 2051619