Measures on the lattice of closed inner ideals in a spin triple
type: Item
instance of: scholarly article
title: Measures on the lattice of closed inner ideals in a spin triple
zbMATH Open document ID: 0973.46060
published in: Journal of Mathematical Analysis and Applications
publication date: 2001-02-11T00:00:00Z
review text: The structure of the complete lattice \(I(A)\) of closed inner ideals in a spin triple \(A\) and the measures on \(I(A)\), are studied in this paper. Let \(n\) be the dimension of \(A\). For \(n>5\), there are no non-zero measures on \(I(A)\). For \(n=5\), do exist measures on \(I(A)\), and, up to multiplication by a constant, a unique measure exists that is invariant under automorphisms of \(A\). For \(n=4\), \(A\) is isomorphic to the \(W^*\)-triple of \(2\times 2\) complex matrices. In this case, there is an uncountable number of measures on \(I(A)\).
reviewed by: Antonio Fernández López
Mathematics Subject Classification ID: 46L70
zbMATH DE Number: 1563085
zbMATH Keywords: \(W^*\)-triple
zbMATH Keywords: closed inner ideals
zbMATH Keywords: spin triple
author: C. M. Edwards
author: Gottfried T. Rüttimann
MaRDI profile type: Publication
OpenAlex ID: W2034647210
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DOI: 10.1006/JMAA.2000.7059
description: scientific article; zbMATH DE number 1563085